A store owner had the same number of pears, mangosteens and starfruits at first. After 50 starfruits, some pears and mangosteens were thrown away, there were 135 fruits left. There were twice as many pears as mangosteens left. The number of starfruits left was 25 less than the number of pears. How many mangosteens were thrown away?
| |
Pears |
Mangosteens |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 50 |
|
| After |
2 u |
1 u |
2 u - 25 |
135 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 25
= 5 u - 25
5 u - 25 = 135
5 u = 135 + 25
5 u = 160
1 u = 160 ÷ 5 = 32
Number of starfruits at first
= 2 u - 25 + 50
= 2 x 32 - 25 + 50
= 64 - 25 + 50
= 89
The number of mangosteens and starfruits at first was the same.
Number of mangosteens thrown away
= 89 - 1 u
= 89 - 32
= 57
Answer(s): 57
