Wendy had twice the number of rubber blocks as Howard. Wendy used all her blocks to build 10 identical houses. Howard used all his blocks to build 6 identical houses. Wendy used 9 more blocks than Howard for each house. How many blocks did Howard have?
| |
Wendy |
Howard |
| Number |
10 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
6 u |
Number of rubber blocks that Howard used for each house = 1 u
Number of rubber blocks that Wendy used for each house = 1 u + 9
Number of rubber blocks that Howard had
= 6 x 1 u
= 6 u
Number of rubber blocks that Wendy had
= 10 x (1 u + 9)
= 10 u + 90
Wendy had twice the number of rubber blocks as Howard.
2 x 6 u = 10 u + 90
12 u = 10 u + 90
12 u - 10 u = 90
2 u = 90
1 u = 90 ÷ 2 = 45
Number of blocks that Howard had
= 6 u
= 6 x 45
= 270
Answer(s): 270
