Olivia had five times the number of wooden blocks as Julian. Olivia used all her blocks to build 12 identical planes. Julian used all his blocks to build 6 identical planes. Olivia used 9 more blocks than Julian for each plane. How many blocks did Julian have?
| |
Olivia |
Julian |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of wooden blocks that Julian used for each plane = 1 u
Number of wooden blocks that Olivia used for each plane = 1 u + 9
Number of wooden blocks that Julian had
= 6 x 1 u
= 6 u
Number of wooden blocks that Olivia had
= 12 x (1 u + 9)
= 12 u + 108
Olivia had five times the number of wooden blocks as Julian.
5 x 6 u = 12 u + 108
30 u = 12 u + 108
30 u - 12 u = 108
18 u = 108
1 u = 108 ÷ 18 = 6
Number of blocks that Julian had
= 6 u
= 6 x 6
= 36
Answer(s): 36
