PSLEA grocer had the same number of guavas, grapefruits and persimmons at first. After 65 persimmons, some guavas and grapefruits were sold, there were 148 fruits left. There were 2 times as many guavas as grapefruits left. The number of persimmons left was 32 fewer than the number of guavas left. How many grapefruits were sold?
|
Guavas |
Grapefruits |
Persimmons |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 65 |
|
After |
2 u |
1 u |
2 u - 32 |
148 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 32
= 5 u - 32
5 u - 32 = 148
5 u = 148 + 32
5 u = 180
1 u = 180 ÷ 5 = 36
Number of persimmons at first
= 2 u - 32 + 65
= 2 x 36 + 33
= 105
The number of persimmons and grapefruits at first is the same.
Number of grapefruits sold
= 105 - 36
= 69
Answer(s): 69