A stallholder had the same number of dragonfruits, pears and passion fruits at first. After 127 passion fruits, some dragonfruits and pears were sold, there were 163 fruits left. There were twice as many dragonfruits as pears left. The number of passion fruits left was 27 fewer than the number of dragonfruits. How many pears were sold?
| |
Dragonfruits |
Pears |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 127 |
|
| After |
2 u |
1 u |
2 u - 27 |
163 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 27
= 5 u - 27
5 u - 27 = 163
5 u = 163 + 27
5 u = 190
1 u = 190 ÷ 5 = 38
Number of passion fruits at first
= 2 u - 27 + 127
= 2 x 38 - 27 + 127
= 76 - 27 + 127
= 176
The number of pears and passion fruits at first was the same.
Number of pears sold
= 176 - 1 u
= 176 - 38
= 138
Answer(s): 138
