Zara had five times the number of rubber blocks as Charlie. Zara used all her blocks to build 12 identical ships. Charlie used all his blocks to build 6 identical ships. Zara used 9 more blocks than Charlie for each ship. How many blocks did Charlie have?
| |
Zara |
Charlie |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of rubber blocks that Charlie used for each ship = 1 u
Number of rubber blocks that Zara used for each ship = 1 u + 9
Number of rubber blocks that Charlie had
= 6 x 1 u
= 6 u
Number of rubber blocks that Zara had
= 12 x (1 u + 9)
= 12 u + 108
Zara had five times the number of rubber blocks as Charlie.
5 x 6 u = 12 u + 108
30 u = 12 u + 108
30 u - 12 u = 108
18 u = 108
1 u = 108 ÷ 18 = 6
Number of blocks that Charlie had
= 6 u
= 6 x 6
= 36
Answer(s): 36
