Luke and Howard shared equally a bunch of grapes. After Luke had eaten 28 of his grapes and Howard had eaten 16 of his, Howard had 5 times as many grapes left as Luke. How many grapes had each of them at first?
| |
Luke |
Howard |
| Before |
1 u + 28 |
5 u + 16 |
| Change |
- 28 |
- 16 |
| After |
1 u |
5 u |
Number of grapes each had at first was the same.
5 u + 16 = 1 u + 28
5 u - 1 u = 28 - 16
4 u = 12
1 u = 12 ÷ 4 = 3
Number of grapes that they had each at first
= 1 u + 28
= 3 + 28
= 31
Answer(s): 31
