Marion had five times the number of wooden blocks as Charlie. Marion used all her blocks to build 11 identical figurines. Charlie used all his blocks to build 4 identical figurines. Marion used 9 more blocks than Charlie for each figurine. How many blocks did Charlie have?
| |
Marion |
Charlie |
| Number |
11 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
11 u + 99 |
4 u |
Number of wooden blocks that Charlie used for each figurine = 1 u
Number of wooden blocks that Marion used for each figurine = 1 u + 9
Number of wooden blocks that Charlie had
= 4 x 1 u
= 4 u
Number of wooden blocks that Marion had
= 11 x (1 u + 9)
= 11 u + 99
Marion had five times the number of wooden blocks as Charlie.
5 x 4 u = 11 u + 99
20 u = 11 u + 99
20 u - 11 u = 99
9 u = 99
1 u = 99 ÷ 9 = 11
Number of blocks that Charlie had
= 4 u
= 4 x 11
= 44
Answer(s): 44
