PSLEA store owner had an equal number of guavas, mangoes and passion fruits at first. After 64 passion fruits, some guavas and mangoes were sold, there were 120 fruits left. There were 2 times as many guavas as mangoes left. The number of passion fruits left was 15 fewer than the number of guavas left. How many mangoes were sold?
|
Guavas |
Mangoes |
Passion Fruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 64 |
|
After |
2 u |
1 u |
2 u - 15 |
120 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 15
= 5 u - 15
5 u - 15 = 120
5 u = 120 + 15
5 u = 135
1 u = 135 ÷ 5 = 27
Number of passion fruits at first
= 2 u - 15 + 64
= 2 x 27 + 49
= 103
The number of passion fruits and mangoes at first is the same.
Number of mangoes sold
= 103 - 27
= 76
Answer(s): 76