PSLEA stallholder had the same number of mangosteens, persimmons and passion fruits at first. After 78 passion fruits, some mangosteens and persimmons were sold, there were 84 fruits left. There were 4 times as many mangosteens as persimmons left. The number of passion fruits left was 24 less than the number of mangosteens left. How many persimmons were sold?
|
Mangosteens |
Persimmons |
Passion Fruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 78 |
|
After |
4 u |
1 u |
4 u - 24 |
84 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 24
= 9 u - 24
9 u - 24 = 84
9 u = 84 + 24
9 u = 108
1 u = 108 ÷ 9 = 12
Number of passion fruits at first
= 4 u - 24 + 78
= 4 x 12 + 54
= 102
The number of passion fruits and persimmons at first is the same.
Number of persimmons sold
= 102 - 12
= 90
Answer(s): 90