Howard and Valen shared equally a bunch of grapes. After Howard had eaten 31 of his grapes and Valen had eaten 17 of his, Valen had 3 times as many grapes left as Howard. How many grapes had each of them at first?
| |
Howard |
Valen |
| Before |
1 u + 31 |
3 u + 17 |
| Change |
- 31 |
- 17 |
| After |
1 u |
3 u |
Number of grapes each had at first was the same.
3 u + 17 = 1 u + 31
3 u - 1 u = 31 - 17
2 u = 14
1 u = 14 ÷ 2 = 7
Number of grapes that they had each at first
= 1 u + 31
= 7 + 31
= 38
Answer(s): 38
