A grocer had the same number of guavas, kiwis and mangoes at first. After 67 mangoes, some guavas and kiwis were used, there were 138 fruits left. There were twice as many guavas as kiwis left. The number of mangoes left was 27 fewer than the number of guavas. How many kiwis were used?
| |
Guavas |
Kiwis |
Mangoes |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 67 |
|
| After |
2 u |
1 u |
2 u - 27 |
138 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 27
= 5 u - 27
5 u - 27 = 138
5 u = 138 + 27
5 u = 165
1 u = 165 ÷ 5 = 33
Number of mangoes at first
= 2 u - 27 + 67
= 2 x 33 - 27 + 67
= 66 - 27 + 67
= 106
The number of kiwis and mangoes at first was the same.
Number of kiwis used
= 106 - 1 u
= 106 - 33
= 73
Answer(s): 73
