A zombie wants $2.10 in dimes and nickels for a snack. The document determines three combinations of coins that satisfy this: 21 dimes ($2.10), 42 nickels ($2.10), and 20 dimes plus 10 nickels ($2.10). It provides a table showing the different combinations of coins and their total values.

1. Zombie Warm-up
Solve this linear equation:
x + 2(3x +1) = 5
x + (2•3x +2•1) = 5
x + 2•(3x +1) = 5
x + ( 6x + 2 ) = 5
x + 6x + 2 = 5
–2 = –2
7x = 3
7 7
x =
3
7

2. A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
$2.10

3. 11 @ 10¢ = $1.10
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

4. 12 @ 10¢ = $1.20
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

5. 13 @ 10¢ = $1.30
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

6. 14 @ 10¢ = $1.40
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

7. 15 @ 10¢ = $1.50
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

8. 16 @ 10¢ = $1.60
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

9. 17 @ 10¢ = $1.70
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

10. 18 @ 10¢ = $1.80
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

11. 19 @ 10¢ = $1.90
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

12. 10 @ 10¢ = $1.00
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

13. 11 @ 10¢ = $1.10
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

14. 12 @ 10¢ = $1.20
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

15. 13 @ 10¢ = $1.30
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

16. 14 @ 10¢ = $1.40
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

17. 15 @ 10¢ = $1.50
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

18. 16 @ 10¢ = $1.60
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

19. 17 @ 10¢ = $1.70
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

20. 18 @ 10¢ = $1.80
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

21. 19 @ 10¢ = $1.90
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

22. 20 @ 10¢ = $2.00
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)

23. 21 @ 10¢ = $2.10
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
$2.10

24. A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
42 @ 5¢ = $2.10
21 @ 10¢ = $2.10
$2.10

25. A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins
$2.10
42 @ 5¢ = $2.10
21 @ 10¢ = $2.10

26. 20 @ 10¢ = $2.00
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
02 @ 5¢ = $0.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

27. 19 @ 10¢ = $1.90
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
04 @ 5¢ = $0.20
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

28. 18 @ 10¢ = $1.80
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
06 @ 5¢ = $0.30
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

29. 17 @ 10¢ = $1.70
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
08 @ 5¢ = $0.40
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

30. 16 @ 10¢ = $1.60
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
10 @ 5¢ = $0.50
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

31. 15 @ 10¢ = $1.50
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
12 @ 5¢ = $0.60
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

32. 14 @ 10¢ = $1.40
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
14 @ 5¢ = $0.70
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

33. 13 @ 10¢ = $1.30
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
16 @ 5¢ = $0.80
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

34. 12 @ 10¢ = $1.20
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
18 @ 5¢ = $0.90
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

35. 11 @ 10¢ = $1.10
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
20 @ 5¢ = $1.00
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

36. 10 @ 10¢ = $1.00
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
22 @ 5¢ = $1.10
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

37. 19 @ 10¢ = $1.90
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
24 @ 5¢ = $1.20
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

38. 18 @ 10¢ = $1.80
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
26 @ 5¢ = $1.30
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

39. 17 @ 10¢ = $1.70
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
28 @ 5¢ = $1.40
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

40. 16 @ 10¢ = $1.60
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
30 @ 5¢ = $1.50
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

41. 15 @ 10¢ = $1.50
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
32 @ 5¢ = $1.60
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

42. 14 @ 10¢ = $1.40
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
34 @ 5¢ = $1.70
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

43. 13 @ 10¢ = $1.30
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
36 @ 5¢ = $1.80
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

44. 12 @ 10¢ = $1.20
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
38 @ 5¢ = $1.90
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

45. 11 @ 10¢ = $1.10
A zombie wants exactly $2.10 in dimes and nickels for a snack.
a) Determine three different combination of dimes and/or nickels
that will satisfy him.
b)
40 @ 5¢ = $2.00
$2.10
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
Total Coins

46. A zombie wants exactly $2.10 in dimes and nickels for a snack.
a)
b) If you give him exactly 30 coins, how many of each coin is that?
2
0
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
1
1
2 4 6 8 1
0
1
2
1
4
1
6
1
8
2
0
2
2
2
3
2
4
2
5
2
6
2
7
2
8
2
9
3
0
3
1
1
0
9 8 7 6 5 4 3 2 1
2
2
2
4
2
6
2
8
3
0
3
2
3
4
3
6
3
8
4
0
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
4
0
4
1
Dimes
Nickels
$2.10
Total Coins

47. d + n = 30
– n = – n
d = 30 – n
0.10d + 0.05n = 2.10
d + n = 30
0.10d + 0.05n = 2.10
0.10(30 – n) + 0.05n = 2.10
0.10*30 – 0.10*n + 0.05n = 2.10
3 – 0.10n + 0.05n = 2.10
3 – 0.05n = 2.10
–3 = – 3
– 0.05n = –0.90
– 0.05 –0.05
A zombie has exactly 30 dimes and nickels that total to $2.10.
c) Using the given system of equations where d is the number of
dimes and n is the number of nickels,
solve by substitution.
n = 18
d + n = 30
d +18 = 30
–18 = –18
d = 12
= number of nickels
= number
of dimes

48. Steps for Solving Linear Systems by Substitution
Given a linear system of equations: -3x + y = 1
x + 2y = 5
a. Solve one equation for one variable: y = 3x + 1
b. Substitute the expression from step a into the other equation and
solve for the remaining variable:
x + 2(3x + 1) = 5 (Solving this was our warm-up!)
x = 3/7
c. Substitute the value of the known variable into the equation that you
solved in step a and solve for that variable: y = 3 (3/7) + 1
y = 9/7 + 1
y = 9/7 +7/7
y = 16/7
d. Check the values in both equations:
-3 (3/7) + (16/7) = 1 3/7 + 2(16/7) = 5
-9/7 + (16/7) = 1 3/7 + 32/7 = 5
7/7 = 1 35/7 = 5
1 = 1 5 = 5

49. Holt PowerPoint

50. A zookeeper needs to mix
feed for his gophers so
that the feed has the right
amount of protein. Feed
A has 12% protein. Feed B
has 5% protein.
How many pounds of each
does he need to mix to get
100 lbs. of feed that is 8%
protein?
Use these equations.
A + B = 100
.05A + .12B = .08(100)