Erika had five times the number of plastic blocks as Cody. Erika used all her blocks to build 8 identical figurines. Cody used all his blocks to build 4 identical figurines. Erika used 9 more blocks than Cody for each figurine. How many blocks did Cody have?
| |
Erika |
Cody |
| Number |
8 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
4 u |
Number of plastic blocks that Cody used for each figurine = 1 u
Number of plastic blocks that Erika used for each figurine = 1 u + 9
Number of plastic blocks that Cody had
= 4 x 1 u
= 4 u
Number of plastic blocks that Erika had
= 8 x (1 u + 9)
= 8 u + 72
Erika had five times the number of plastic blocks as Cody.
5 x 4 u = 8 u + 72
20 u = 8 u + 72
20 u - 8 u = 72
12 u = 72
1 u = 72 ÷ 12 = 6
Number of blocks that Cody had
= 4 u
= 4 x 6
= 24
Answer(s): 24
