Lucy had thrice the number of plastic blocks as Valen. Lucy used all her blocks to build 8 identical planes. Valen used all his blocks to build 4 identical planes. Lucy used 9 more blocks than Valen for each plane. How many blocks did Valen have?
| |
Lucy |
Valen |
| Number |
8 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
4 u |
Number of plastic blocks that Valen used for each plane = 1 u
Number of plastic blocks that Lucy used for each plane = 1 u + 9
Number of plastic blocks that Valen had
= 4 x 1 u
= 4 u
Number of plastic blocks that Lucy had
= 8 x (1 u + 9)
= 8 u + 72
Lucy had thrice the number of plastic blocks as Valen.
3 x 4 u = 8 u + 72
12 u = 8 u + 72
12 u - 8 u = 72
4 u = 72
1 u = 72 ÷ 4 = 18
Number of blocks that Valen had
= 4 u
= 4 x 18
= 72
Answer(s): 72
