A stallholder had the same number of grapefruits, passion fruits and dragonfruits at first. After 69 dragonfruits, some grapefruits and passion fruits were sold, there were 183 fruits left. There were thrice as many grapefruits as passion fruits left. The number of dragonfruits left was 27 fewer than the number of grapefruits. How many passion fruits were sold?
| |
Grapefruits |
Passion Fruits |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 69 |
|
| After |
3 u |
1 u |
3 u - 27 |
183 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 27
= 7 u - 27
7 u - 27 = 183
7 u = 183 + 27
7 u = 210
1 u = 210 ÷ 7 = 30
Number of dragonfruits at first
= 3 u - 27 + 69
= 3 x 30 - 27 + 69
= 90 - 27 + 69
= 132
The number of passion fruits and dragonfruits at first was the same.
Number of passion fruits sold
= 132 - 1 u
= 132 - 30
= 102
Answer(s): 102
