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