PSLEA store owner had an equal number of persimmons, passion fruits and mangoes at first. After 78 mangoes, some persimmons and passion fruits were sold, there were 109 fruits left. There were 3 times as many persimmons as passion fruits left. The number of mangoes left was 31 fewer than the number of persimmons left. How many passion fruits were sold?
|
Persimmons |
Passion Fruits |
Mangoes |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 78 |
|
After |
3 u |
1 u |
3 u - 31 |
109 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 31
= 7 u - 31
7 u - 31 = 109
7 u = 109 + 31
7 u = 140
1 u = 140 ÷ 7 = 20
Number of mangoes at first
= 3 u - 31 + 78
= 3 x 20 + 47
= 107
The number of mangoes and passion fruits at first is the same.
Number of passion fruits sold
= 107 - 20
= 87
Answer(s): 87