A stallholder had the same number of peaches, mangosteens and passion fruits at first. After 126 passion fruits, some peaches and mangosteens were thrown away, there were 113 fruits left. There were twice as many peaches as mangosteens left. The number of passion fruits left was 12 fewer than the number of peaches. How many mangosteens were thrown away?
| |
Peaches |
Mangosteens |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 126 |
|
| After |
2 u |
1 u |
2 u - 12 |
113 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 12
= 5 u - 12
5 u - 12 = 113
5 u = 113 + 12
5 u = 125
1 u = 125 ÷ 5 = 25
Number of passion fruits at first
= 2 u - 12 + 126
= 2 x 25 - 12 + 126
= 50 - 12 + 126
= 164
The number of mangosteens and passion fruits at first was the same.
Number of mangosteens thrown away
= 164 - 1 u
= 164 - 25
= 139
Answer(s): 139
