A stallholder had the same number of pears, kiwis and mangosteens at first. After 61 mangosteens, some pears and kiwis were used, there were 129 fruits left. There were thrice as many pears as kiwis left. The number of mangosteens left was 25 fewer than the number of pears. How many kiwis were used?
| |
Pears |
Kiwis |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 61 |
|
| After |
3 u |
1 u |
3 u - 25 |
129 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 25
= 7 u - 25
7 u - 25 = 129
7 u = 129 + 25
7 u = 154
1 u = 154 ÷ 7 = 22
Number of mangosteens at first
= 3 u - 25 + 61
= 3 x 22 - 25 + 61
= 66 - 25 + 61
= 102
The number of kiwis and mangosteens at first was the same.
Number of kiwis used
= 102 - 1 u
= 102 - 22
= 80
Answer(s): 80
