PSLEA store owner had the same number of mangosteens, passion fruits and grapefruits at first. After 66 grapefruits, some mangosteens and passion fruits were sold, there were 106 fruits left. There were 2 times as many mangosteens as passion fruits left. The number of grapefruits left was 19 fewer than the number of mangosteens left. How many passion fruits were sold?
|
Mangosteens |
Passion Fruits |
Grapefruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 66 |
|
After |
2 u |
1 u |
2 u - 19 |
106 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 19
= 5 u - 19
5 u - 19 = 106
5 u = 106 + 19
5 u = 125
1 u = 125 ÷ 5 = 25
Number of grapefruits at first
= 2 u - 19 + 66
= 2 x 25 + 47
= 97
The number of grapefruits and passion fruits at first is the same.
Number of passion fruits sold
= 97 - 25
= 72
Answer(s): 72