A stallholder had the same number of grapefruits, mangosteens and pomegranates at first. After 116 pomegranates, some grapefruits and mangosteens were thrown away, there were 162 fruits left. There were twice as many grapefruits as mangosteens left. The number of pomegranates left was 23 fewer than the number of grapefruits. How many mangosteens were thrown away?
| |
Grapefruits |
Mangosteens |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 116 |
|
| After |
2 u |
1 u |
2 u - 23 |
162 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 23
= 5 u - 23
5 u - 23 = 162
5 u = 162 + 23
5 u = 185
1 u = 185 ÷ 5 = 37
Number of pomegranates at first
= 2 u - 23 + 116
= 2 x 37 - 23 + 116
= 74 - 23 + 116
= 167
The number of mangosteens and pomegranates at first was the same.
Number of mangosteens thrown away
= 167 - 1 u
= 167 - 37
= 130
Answer(s): 130
