A fruit seller had the same number of peaches, grapefruits and kiwis at first. After 121 kiwis, some peaches and grapefruits were used, there were 108 fruits left. There were twice as many peaches as grapefruits left. The number of kiwis left was 37 fewer than the number of peaches. How many grapefruits were used?
| |
Peaches |
Grapefruits |
Kiwis |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 121 |
|
| After |
2 u |
1 u |
2 u - 37 |
108 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 37
= 5 u - 37
5 u - 37 = 108
5 u = 108 + 37
5 u = 145
1 u = 145 ÷ 5 = 29
Number of kiwis at first
= 2 u - 37 + 121
= 2 x 29 - 37 + 121
= 58 - 37 + 121
= 142
The number of grapefruits and kiwis at first was the same.
Number of grapefruits used
= 142 - 1 u
= 142 - 29
= 113
Answer(s): 113
