PSLEA grocer had the same number of dragonfruits, peaches and starfruits at first. After 42 starfruits, some dragonfruits and peaches were sold, there were 170 fruits left. There were 2 times as many dragonfruits as peaches left. The number of starfruits left was 35 less than the number of dragonfruits left. How many peaches were sold?
|
Dragonfruits |
Peaches |
Starfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 42 |
|
After |
2 u |
1 u |
2 u - 35 |
170 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 35
= 5 u - 35
5 u - 35 = 170
5 u = 170 + 35
5 u = 205
1 u = 205 ÷ 5 = 41
Number of starfruits at first
= 2 u - 35 + 42
= 2 x 41 + 7
= 89
The number of starfruits and peaches at first is the same.
Number of peaches sold
= 89 - 41
= 48
Answer(s): 48