Marion had four times the number of metallic blocks as Vaidev. Marion used all her blocks to build 12 identical planes. Vaidev used all his blocks to build 4 identical planes. Marion used 9 more blocks than Vaidev for each plane. How many blocks did Vaidev have?
| |
Marion |
Vaidev |
| Number |
12 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
4 u |
Number of metallic blocks that Vaidev used for each plane = 1 u
Number of metallic blocks that Marion used for each plane = 1 u + 9
Number of metallic blocks that Vaidev had
= 4 x 1 u
= 4 u
Number of metallic blocks that Marion had
= 12 x (1 u + 9)
= 12 u + 108
Marion had four times the number of metallic blocks as Vaidev.
4 x 4 u = 12 u + 108
16 u = 12 u + 108
16 u - 12 u = 108
4 u = 108
1 u = 108 ÷ 4 = 27
Number of blocks that Vaidev had
= 4 u
= 4 x 27
= 108
Answer(s): 108
