A fruit seller had the same number of pomegranates, mangoes and guavas at first. After 99 guavas, some pomegranates and mangoes were given away, there were 129 fruits left. There were twice as many pomegranates as mangoes left. The number of guavas left was 36 fewer than the number of pomegranates. How many mangoes were given away?
| |
Pomegranates |
Mangoes |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 99 |
|
| After |
2 u |
1 u |
2 u - 36 |
129 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 36
= 5 u - 36
5 u - 36 = 129
5 u = 129 + 36
5 u = 165
1 u = 165 ÷ 5 = 33
Number of guavas at first
= 2 u - 36 + 99
= 2 x 33 - 36 + 99
= 66 - 36 + 99
= 129
The number of mangoes and guavas at first was the same.
Number of mangoes given away
= 129 - 1 u
= 129 - 33
= 96
Answer(s): 96
