Jade had thrice the number of metallic blocks as Charlie. Jade used all her blocks to build 8 identical cars. Charlie used all his blocks to build 4 identical cars. Jade used 9 more blocks than Charlie for each car. How many blocks did Charlie have?
|
Jade |
Charlie |
Number |
8 |
4 |
Value |
1 u + 9 |
1 u |
Total value |
8 u + 72 |
4 u |
Number of metallic blocks that Charlie used for each car = 1 u
Number of metallic blocks that Jade used for each car = 1 u + 9
Number of metallic blocks that Charlie had
= 4 x 1 u
= 4 u
Number of metallic blocks that Jade had
= 8 x (1 u + 9)
= 8 u + 72
Jade had thrice the number of metallic blocks as Charlie.
3 x 4 u = 8 u + 72
12 u = 8 u + 72
12 u - 8 u = 72
4 u = 72
1 u = 72 ÷ 4 = 18
Number of blocks that Charlie had
= 4 u
= 4 x 18
= 72
Answer(s): 72