Jaslyn had four times the number of metallic blocks as Tommy. Jaslyn used all her blocks to build 11 identical cars. Tommy used all his blocks to build 5 identical cars. Jaslyn used 9 more blocks than Tommy for each car. How many blocks did Tommy have?
| |
Jaslyn |
Tommy |
| Number |
11 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
11 u + 99 |
5 u |
Number of metallic blocks that Tommy used for each car = 1 u
Number of metallic blocks that Jaslyn used for each car = 1 u + 9
Number of metallic blocks that Tommy had
= 5 x 1 u
= 5 u
Number of metallic blocks that Jaslyn had
= 11 x (1 u + 9)
= 11 u + 99
Jaslyn had four times the number of metallic blocks as Tommy.
4 x 5 u = 11 u + 99
20 u = 11 u + 99
20 u - 11 u = 99
9 u = 99
1 u = 99 ÷ 9 = 11
Number of blocks that Tommy had
= 5 u
= 5 x 11
= 55
Answer(s): 55
