Liam and Luke shared equally a bunch of grapes. After Liam had eaten 32 of his grapes and Luke had eaten 12 of his, Luke had 6 times as many grapes left as Liam. How many grapes had each of them at first?
|
Liam |
Luke |
Before |
1 u + 32 |
6 u + 12 |
Change |
- 32 |
- 12 |
After |
1 u |
6 u |
Number of grapes each had at first was the same.
6 u + 12 = 1 u + 32
6 u - 1 u = 32 - 12
5 u = 20
1 u = 20 ÷ 5 = 4
Number of grapes that they had each at first
= 1 u + 32
= 4 + 32
= 36
Answer(s): 36