PSLEA grocer had an equal number of peaches, dragonfruits and grapefruits at first. After 74 grapefruits, some peaches and dragonfruits were sold, there were 179 fruits left. There were 2 times as many peaches as dragonfruits left. The number of grapefruits left was 26 fewer than the number of peaches left. How many dragonfruits were sold?
|
Peaches |
Dragonfruits |
Grapefruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 74 |
|
After |
2 u |
1 u |
2 u - 26 |
179 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 26
= 5 u - 26
5 u - 26 = 179
5 u = 179 + 26
5 u = 205
1 u = 205 ÷ 5 = 41
Number of grapefruits at first
= 2 u - 26 + 74
= 2 x 41 + 48
= 130
The number of grapefruits and dragonfruits at first is the same.
Number of dragonfruits sold
= 130 - 41
= 89
Answer(s): 89