PSLEA fruit seller had the same number of guavas, grapefruits and persimmons at first. After 73 persimmons, some guavas and grapefruits were sold, there were 85 fruits left. There were 4 times as many guavas as grapefruits left. The number of persimmons left was 23 fewer than the number of guavas left. How many grapefruits were sold?
|
Guavas |
Grapefruits |
Persimmons |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 73 |
|
After |
4 u |
1 u |
4 u - 23 |
85 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 23
= 9 u - 23
9 u - 23 = 85
9 u = 85 + 23
9 u = 108
1 u = 108 ÷ 9 = 12
Number of persimmons at first
= 4 u - 23 + 73
= 4 x 12 + 50
= 98
The number of persimmons and grapefruits at first is the same.
Number of grapefruits sold
= 98 - 12
= 86
Answer(s): 86