A store owner had the same number of guavas, peaches and pomegranates at first. After 110 pomegranates, some guavas and peaches were sold, there were 120 fruits left. There were four times as many guavas as peaches left. The number of pomegranates left was 24 fewer than the number of guavas. How many peaches were sold?
| |
Guavas |
Peaches |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 110 |
|
| After |
4 u |
1 u |
4 u - 24 |
120 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 24
= 9 u - 24
9 u - 24 = 120
9 u = 120 + 24
9 u = 144
1 u = 144 ÷ 9 = 16
Number of pomegranates at first
= 4 u - 24 + 110
= 4 x 16 - 24 + 110
= 64 - 24 + 110
= 150
The number of peaches and pomegranates at first was the same.
Number of peaches sold
= 150 - 1 u
= 150 - 16
= 134
Answer(s): 134
