A fruit seller had the same number of mangoes, peaches and pomegranates at first. After 108 pomegranates, some mangoes and peaches were sold, there were 162 fruits left. There were five times as many mangoes as peaches left. The number of pomegranates left was 36 fewer than the number of mangoes. How many peaches were sold?
| |
Mangoes |
Peaches |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 108 |
|
| After |
5 u |
1 u |
5 u - 36 |
162 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 36
= 11 u - 36
11 u - 36 = 162
11 u = 162 + 36
11 u = 198
1 u = 198 ÷ 11 = 18
Number of pomegranates at first
= 5 u - 36 + 108
= 5 x 18 - 36 + 108
= 90 - 36 + 108
= 162
The number of peaches and pomegranates at first was the same.
Number of peaches sold
= 162 - 1 u
= 162 - 18
= 144
Answer(s): 144
