Rachel had four times the number of metallic blocks as Oscar. Rachel used all her blocks to build 10 identical cars. Oscar used all his blocks to build 4 identical cars. Rachel used 9 more blocks than Oscar for each car. How many blocks did Oscar have?
| |
Rachel |
Oscar |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of metallic blocks that Oscar used for each car = 1 u
Number of metallic blocks that Rachel used for each car = 1 u + 9
Number of metallic blocks that Oscar had
= 4 x 1 u
= 4 u
Number of metallic blocks that Rachel had
= 10 x (1 u + 9)
= 10 u + 90
Rachel had four times the number of metallic blocks as Oscar.
4 x 4 u = 10 u + 90
16 u = 10 u + 90
16 u - 10 u = 90
6 u = 90
1 u = 90 ÷ 6 = 15
Number of blocks that Oscar had
= 4 u
= 4 x 15
= 60
Answer(s): 60
