PSLEA grocer had an equal number of mangosteens, persimmons and lemons at first. After 67 lemons, some mangosteens and persimmons were sold, there were 135 fruits left. There were 2 times as many mangosteens as persimmons left. The number of lemons left was 15 less than the number of mangosteens left. How many persimmons were sold?
|
Mangosteens |
Persimmons |
Lemons |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 67 |
|
After |
2 u |
1 u |
2 u - 15 |
135 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 15
= 5 u - 15
5 u - 15 = 135
5 u = 135 + 15
5 u = 150
1 u = 150 ÷ 5 = 30
Number of lemons at first
= 2 u - 15 + 67
= 2 x 30 + 52
= 112
The number of lemons and persimmons at first is the same.
Number of persimmons sold
= 112 - 30
= 82
Answer(s): 82