Gem had five times the number of rubber blocks as Billy. Gem used all her blocks to build 8 identical cars. Billy used all his blocks to build 4 identical cars. Gem used 9 more blocks than Billy for each car. How many blocks did Billy have?
| |
Gem |
Billy |
| Number |
8 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
4 u |
Number of rubber blocks that Billy used for each car = 1 u
Number of rubber blocks that Gem used for each car = 1 u + 9
Number of rubber blocks that Billy had
= 4 x 1 u
= 4 u
Number of rubber blocks that Gem had
= 8 x (1 u + 9)
= 8 u + 72
Gem had five times the number of rubber blocks as Billy.
5 x 4 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 Billy had
= 4 u
= 4 x 6
= 24
Answer(s): 24
