Winnie had thrice the number of metallic blocks as Fred. Winnie used all her blocks to build 9 identical cars. Fred used all his blocks to build 6 identical cars. Winnie used 9 more blocks than Fred for each car. How many blocks did Fred have?
| |
Winnie |
Fred |
| Number |
9 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
6 u |
Number of metallic blocks that Fred used for each car = 1 u
Number of metallic blocks that Winnie used for each car = 1 u + 9
Number of metallic blocks that Fred had
= 6 x 1 u
= 6 u
Number of metallic blocks that Winnie had
= 9 x (1 u + 9)
= 9 u + 81
Winnie had thrice the number of metallic blocks as Fred.
3 x 6 u = 9 u + 81
18 u = 9 u + 81
18 u - 9 u = 81
9 u = 81
1 u = 81 ÷ 9 = 9
Number of blocks that Fred had
= 6 u
= 6 x 9
= 54
Answer(s): 54
