Cathy had four times the number of toy blocks as Wesley. Cathy used all her blocks to build 8 identical ships. Wesley used all his blocks to build 5 identical ships. Cathy used 9 more blocks than Wesley for each ship. How many blocks did Wesley have?
|
Cathy |
Wesley |
Number |
8 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
8 u + 72 |
5 u |
Number of toy blocks that Wesley used for each ship = 1 u
Number of toy blocks that Cathy used for each ship = 1 u + 9
Number of toy blocks that Wesley had
= 5 x 1 u
= 5 u
Number of toy blocks that Cathy had
= 8 x (1 u + 9)
= 8 u + 72
Cathy had four times the number of toy blocks as Wesley.
4 x 5 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 Wesley had
= 5 u
= 5 x 6
= 30
Answer(s): 30