A store owner had the same number of mangoes, dragonfruits and pomegranates at first. After 55 pomegranates, some mangoes and dragonfruits were given away, there were 177 fruits left. There were twice as many mangoes as dragonfruits left. The number of pomegranates left was 28 fewer than the number of mangoes. How many dragonfruits were given away?
| |
Mangoes |
Dragonfruits |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 55 |
|
| After |
2 u |
1 u |
2 u - 28 |
177 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 28
= 5 u - 28
5 u - 28 = 177
5 u = 177 + 28
5 u = 205
1 u = 205 ÷ 5 = 41
Number of pomegranates at first
= 2 u - 28 + 55
= 2 x 41 - 28 + 55
= 82 - 28 + 55
= 109
The number of dragonfruits and pomegranates at first was the same.
Number of dragonfruits given away
= 109 - 1 u
= 109 - 41
= 68
Answer(s): 68
