A fruit seller had the same number of kiwis, grapefruits and passion fruits at first. After 49 passion fruits, some kiwis and grapefruits were taken out, there were 188 fruits left. There were twice as many kiwis as grapefruits left. The number of passion fruits left was 32 fewer than the number of kiwis. How many grapefruits were taken out?
| |
Kiwis |
Grapefruits |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 49 |
|
| After |
2 u |
1 u |
2 u - 32 |
188 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 32
= 5 u - 32
5 u - 32 = 188
5 u = 188 + 32
5 u = 220
1 u = 220 ÷ 5 = 44
Number of passion fruits at first
= 2 u - 32 + 49
= 2 x 44 - 32 + 49
= 88 - 32 + 49
= 105
The number of grapefruits and passion fruits at first was the same.
Number of grapefruits taken out
= 105 - 1 u
= 105 - 44
= 61
Answer(s): 61
