PSLEA store owner had an equal number of mangosteens, peaches and starfruits at first. After 58 starfruits, some mangosteens and peaches were sold, there were 105 fruits left. There were 2 times as many mangosteens as peaches left. The number of starfruits left was 15 less than the number of mangosteens left. How many peaches were sold?
|
Mangosteens |
Peaches |
Starfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 58 |
|
After |
2 u |
1 u |
2 u - 15 |
105 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 15
= 5 u - 15
5 u - 15 = 105
5 u = 105 + 15
5 u = 120
1 u = 120 ÷ 5 = 24
Number of starfruits at first
= 2 u - 15 + 58
= 2 x 24 + 43
= 91
The number of starfruits and peaches at first is the same.
Number of peaches sold
= 91 - 24
= 67
Answer(s): 67