Xylia had thrice the number of rubber blocks as Howard. Xylia used all her blocks to build 12 identical cars. Howard used all his blocks to build 6 identical cars. Xylia used 9 more blocks than Howard for each car. How many blocks did Howard have?
| |
Xylia |
Howard |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of rubber blocks that Howard used for each car = 1 u
Number of rubber blocks that Xylia used for each car = 1 u + 9
Number of rubber blocks that Howard had
= 6 x 1 u
= 6 u
Number of rubber blocks that Xylia had
= 12 x (1 u + 9)
= 12 u + 108
Xylia had thrice the number of rubber blocks as Howard.
3 x 6 u = 12 u + 108
18 u = 12 u + 108
18 u - 12 u = 108
6 u = 108
1 u = 108 ÷ 6 = 18
Number of blocks that Howard had
= 6 u
= 6 x 18
= 108
Answer(s): 108
