PSLEA grocer had the same number of pears, grapefruits and dragonfruits at first. After 58 dragonfruits, some pears and grapefruits were sold, there were 148 fruits left. There were 4 times as many pears as grapefruits left. The number of dragonfruits left was 23 fewer than the number of pears left. How many grapefruits were sold?
|
Pears |
Grapefruits |
Dragonfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 58 |
|
After |
4 u |
1 u |
4 u - 23 |
148 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 23
= 9 u - 23
9 u - 23 = 148
9 u = 148 + 23
9 u = 171
1 u = 171 ÷ 9 = 19
Number of dragonfruits at first
= 4 u - 23 + 58
= 4 x 19 + 35
= 111
The number of dragonfruits and grapefruits at first is the same.
Number of grapefruits sold
= 111 - 19
= 92
Answer(s): 92