Winnie had thrice the number of rubber blocks as Charlie. Winnie used all her blocks to build 12 identical cars. Charlie used all his blocks to build 5 identical cars. Winnie used 9 more blocks than Charlie for each car. How many blocks did Charlie have?
|
Winnie |
Charlie |
Number |
12 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
12 u + 108 |
5 u |
Number of rubber blocks that Charlie used for each car = 1 u
Number of rubber blocks that Winnie used for each car = 1 u + 9
Number of rubber blocks that Charlie had
= 5 x 1 u
= 5 u
Number of rubber blocks that Winnie had
= 12 x (1 u + 9)
= 12 u + 108
Winnie had thrice the number of rubber blocks as Charlie.
3 x 5 u = 12 u + 108
15 u = 12 u + 108
15 u - 12 u = 108
3 u = 108
1 u = 108 ÷ 3 = 36
Number of blocks that Charlie had
= 5 u
= 5 x 36
= 180
Answer(s): 180