A fruit seller had the same number of pomegranates, grapefruits and mangosteens at first. After 139 mangosteens, some pomegranates and grapefruits were sold, there were 127 fruits left. There were twice as many pomegranates as grapefruits left. The number of mangosteens left was 13 less than the number of pomegranates. How many grapefruits were sold?
| |
Pomegranates |
Grapefruits |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 139 |
|
| After |
2 u |
1 u |
2 u - 13 |
127 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 13
= 5 u - 13
5 u - 13 = 127
5 u = 127 + 13
5 u = 140
1 u = 140 ÷ 5 = 28
Number of mangosteens at first
= 2 u - 13 + 139
= 2 x 28 - 13 + 139
= 56 - 13 + 139
= 182
The number of grapefruits and mangosteens at first was the same.
Number of grapefruits sold
= 182 - 1 u
= 182 - 28
= 154
Answer(s): 154
