A fruit seller had the same number of mangosteens, mangoes and pomegranates at first. After 128 pomegranates, some mangosteens and mangoes were sold, there were 110 fruits left. There were twice as many mangosteens as mangoes left. The number of pomegranates left was 10 less than the number of mangosteens. How many mangoes were sold?
| |
Mangosteens |
Mangoes |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 128 |
|
| After |
2 u |
1 u |
2 u - 10 |
110 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 10
= 5 u - 10
5 u - 10 = 110
5 u = 110 + 10
5 u = 120
1 u = 120 ÷ 5 = 24
Number of pomegranates at first
= 2 u - 10 + 128
= 2 x 24 - 10 + 128
= 48 - 10 + 128
= 166
The number of mangoes and pomegranates at first was the same.
Number of mangoes sold
= 166 - 1 u
= 166 - 24
= 142
Answer(s): 142
