A grocer had the same number of pomegranates, dragonfruits and pears at first. After 48 pears, some pomegranates and dragonfruits were thrown away, there were 111 fruits left. There were four times as many pomegranates as dragonfruits left. The number of pears left was 24 less than the number of pomegranates. How many dragonfruits were thrown away?
| |
Pomegranates |
Dragonfruits |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 48 |
|
| After |
4 u |
1 u |
4 u - 24 |
111 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 24
= 9 u - 24
9 u - 24 = 111
9 u = 111 + 24
9 u = 135
1 u = 135 ÷ 9 = 15
Number of pears at first
= 4 u - 24 + 48
= 4 x 15 - 24 + 48
= 60 - 24 + 48
= 84
The number of dragonfruits and pears at first was the same.
Number of dragonfruits thrown away
= 84 - 1 u
= 84 - 15
= 69
Answer(s): 69
