Elyse had thrice the number of wooden blocks as Glen. Elyse used all her blocks to build 12 identical figurines. Glen used all his blocks to build 6 identical figurines. Elyse used 9 more blocks than Glen for each figurine. How many blocks did Glen have?
| |
Elyse |
Glen |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of wooden blocks that Glen used for each figurine = 1 u
Number of wooden blocks that Elyse used for each figurine = 1 u + 9
Number of wooden blocks that Glen had
= 6 x 1 u
= 6 u
Number of wooden blocks that Elyse had
= 12 x (1 u + 9)
= 12 u + 108
Elyse had thrice the number of wooden blocks as Glen.
3 x 6 u = 12 u + 108
18 u = 12 u + 108
18 u - 12 u = 108
6 u = 108
1 u = 108 ÷ 6 = 18
Number of blocks that Glen had
= 6 u
= 6 x 18
= 108
Answer(s): 108
