Mary had four times the number of wooden blocks as Pierre. Mary used all her blocks to build 8 identical figurines. Pierre used all his blocks to build 3 identical figurines. Mary used 9 more blocks than Pierre for each figurine. How many blocks did Pierre have?
| |
Mary |
Pierre |
| Number |
8 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
3 u |
Number of wooden blocks that Pierre used for each figurine = 1 u
Number of wooden blocks that Mary used for each figurine = 1 u + 9
Number of wooden blocks that Pierre had
= 3 x 1 u
= 3 u
Number of wooden blocks that Mary had
= 8 x (1 u + 9)
= 8 u + 72
Mary had four times the number of wooden blocks as Pierre.
4 x 3 u = 8 u + 72
12 u = 8 u + 72
12 u - 8 u = 72
4 u = 72
1 u = 72 ÷ 4 = 18
Number of blocks that Pierre had
= 3 u
= 3 x 18
= 54
Answer(s): 54
