A grocer had the same number of starfruits, kiwis and pears at first. After 78 pears, some starfruits and kiwis were given away, there were 146 fruits left. There were twice as many starfruits as kiwis left. The number of pears left was 29 fewer than the number of starfruits. How many kiwis were given away?
| |
Starfruits |
Kiwis |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 78 |
|
| After |
2 u |
1 u |
2 u - 29 |
146 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 29
= 5 u - 29
5 u - 29 = 146
5 u = 146 + 29
5 u = 175
1 u = 175 ÷ 5 = 35
Number of pears at first
= 2 u - 29 + 78
= 2 x 35 - 29 + 78
= 70 - 29 + 78
= 119
The number of kiwis and pears at first was the same.
Number of kiwis given away
= 119 - 1 u
= 119 - 35
= 84
Answer(s): 84
