Xylia had five times the number of wooden blocks as Fabian. Xylia used all her blocks to build 8 identical cars. Fabian used all his blocks to build 4 identical cars. Xylia used 9 more blocks than Fabian for each car. How many blocks did Fabian have?
|
Xylia |
Fabian |
Number |
8 |
4 |
Value |
1 u + 9 |
1 u |
Total value |
8 u + 72 |
4 u |
Number of wooden blocks that Fabian used for each car = 1 u
Number of wooden blocks that Xylia used for each car = 1 u + 9
Number of wooden blocks that Fabian had
= 4 x 1 u
= 4 u
Number of wooden blocks that Xylia had
= 8 x (1 u + 9)
= 8 u + 72
Xylia had five times the number of wooden blocks as Fabian.
5 x 4 u = 8 u + 72
20 u = 8 u + 72
20 u - 8 u = 72
12 u = 72
1 u = 72 ÷ 12 = 6
Number of blocks that Fabian had
= 4 u
= 4 x 6
= 24
Answer(s): 24