A stallholder had the same number of passion fruits, mangosteens and kiwis at first. After 89 kiwis, some passion fruits and mangosteens were sold, there were 135 fruits left. There were thrice as many passion fruits as mangosteens left. The number of kiwis left was 40 fewer than the number of passion fruits. How many mangosteens were sold?
| |
Passion Fruits |
Mangosteens |
Kiwis |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 89 |
|
| After |
3 u |
1 u |
3 u - 40 |
135 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 40
= 7 u - 40
7 u - 40 = 135
7 u = 135 + 40
7 u = 175
1 u = 175 ÷ 7 = 25
Number of kiwis at first
= 3 u - 40 + 89
= 3 x 25 - 40 + 89
= 75 - 40 + 89
= 124
The number of mangosteens and kiwis at first was the same.
Number of mangosteens sold
= 124 - 1 u
= 124 - 25
= 99
Answer(s): 99
