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