Rachel had twice the number of metallic blocks as Vaidev. Rachel used all her blocks to build 8 identical ships. Vaidev used all his blocks to build 6 identical ships. Rachel used 9 more blocks than Vaidev for each ship. How many blocks did Vaidev have?
| |
Rachel |
Vaidev |
| Number |
8 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
6 u |
Number of metallic blocks that Vaidev used for each ship = 1 u
Number of metallic blocks that Rachel used for each ship = 1 u + 9
Number of metallic blocks that Vaidev had
= 6 x 1 u
= 6 u
Number of metallic blocks that Rachel had
= 8 x (1 u + 9)
= 8 u + 72
Rachel had twice the number of metallic blocks as Vaidev.
2 x 6 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 Vaidev had
= 6 u
= 6 x 18
= 108
Answer(s): 108
