A grocer had the same number of guavas, dragonfruits and lemons at first. After 97 lemons, some guavas and dragonfruits were set aside, there were 165 fruits left. There were thrice as many guavas as dragonfruits left. The number of lemons left was 31 less than the number of guavas. How many dragonfruits were set aside?
| |
Guavas |
Dragonfruits |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 97 |
|
| After |
3 u |
1 u |
3 u - 31 |
165 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 31
= 7 u - 31
7 u - 31 = 165
7 u = 165 + 31
7 u = 196
1 u = 196 ÷ 7 = 28
Number of lemons at first
= 3 u - 31 + 97
= 3 x 28 - 31 + 97
= 84 - 31 + 97
= 150
The number of dragonfruits and lemons at first was the same.
Number of dragonfruits set aside
= 150 - 1 u
= 150 - 28
= 122
Answer(s): 122
