A fruit seller had the same number of pears, pomegranates and mangosteens at first. After 76 mangosteens, some pears and pomegranates were taken out, there were 175 fruits left. There were twice as many pears as pomegranates left. The number of mangosteens left was 35 less than the number of pears. How many pomegranates were taken out?
| |
Pears |
Pomegranates |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 76 |
|
| After |
2 u |
1 u |
2 u - 35 |
175 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 35
= 5 u - 35
5 u - 35 = 175
5 u = 175 + 35
5 u = 210
1 u = 210 ÷ 5 = 42
Number of mangosteens at first
= 2 u - 35 + 76
= 2 x 42 - 35 + 76
= 84 - 35 + 76
= 125
The number of pomegranates and mangosteens at first was the same.
Number of pomegranates taken out
= 125 - 1 u
= 125 - 42
= 83
Answer(s): 83
