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