Mary had twice the number of toy blocks as Owen. Mary used all her blocks to build 7 identical figurines. Owen used all his blocks to build 5 identical figurines. Mary used 9 more blocks than Owen for each figurine. How many blocks did Owen have?
| |
Mary |
Owen |
| Number |
7 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
7 u + 63 |
5 u |
Number of toy blocks that Owen used for each figurine = 1 u
Number of toy blocks that Mary used for each figurine = 1 u + 9
Number of toy blocks that Owen had
= 5 x 1 u
= 5 u
Number of toy blocks that Mary had
= 7 x (1 u + 9)
= 7 u + 63
Mary had twice the number of toy blocks as Owen.
2 x 5 u = 7 u + 63
10 u = 7 u + 63
10 u - 7 u = 63
3 u = 63
1 u = 63 ÷ 3 = 21
Number of blocks that Owen had
= 5 u
= 5 x 21
= 105
Answer(s): 105
