PSLEA fruit seller had an equal number of kiwis, mangoes and grapefruits at first. After 50 grapefruits, some kiwis and mangoes were sold, there were 79 fruits left. There were 2 times as many kiwis as mangoes left. The number of grapefruits left was 26 fewer than the number of kiwis left. How many mangoes were sold?
|
Kiwis |
Mangoes |
Grapefruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 50 |
|
After |
2 u |
1 u |
2 u - 26 |
79 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 26
= 5 u - 26
5 u - 26 = 79
5 u = 79 + 26
5 u = 105
1 u = 105 ÷ 5 = 21
Number of grapefruits at first
= 2 u - 26 + 50
= 2 x 21 + 24
= 66
The number of grapefruits and mangoes at first is the same.
Number of mangoes sold
= 66 - 21
= 45
Answer(s): 45