Roshel had twice the number of toy blocks as Owen. Roshel used all her blocks to build 9 identical ships. Owen used all his blocks to build 6 identical ships. Roshel used 9 more blocks than Owen for each ship. How many blocks did Owen have?
| |
Roshel |
Owen |
| Number |
9 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
6 u |
Number of toy blocks that Owen used for each ship = 1 u
Number of toy blocks that Roshel used for each ship = 1 u + 9
Number of toy blocks that Owen had
= 6 x 1 u
= 6 u
Number of toy blocks that Roshel had
= 9 x (1 u + 9)
= 9 u + 81
Roshel had twice the number of toy blocks as Owen.
2 x 6 u = 9 u + 81
12 u = 9 u + 81
12 u - 9 u = 81
3 u = 81
1 u = 81 ÷ 3 = 27
Number of blocks that Owen had
= 6 u
= 6 x 27
= 162
Answer(s): 162
