A store owner had the same number of pears, guavas and grapefruits at first. After 83 grapefruits, some pears and guavas were sold, there were 171 fruits left. There were twice as many pears as guavas left. The number of grapefruits left was 24 fewer than the number of pears. How many guavas were sold?
| |
Pears |
Guavas |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 83 |
|
| After |
2 u |
1 u |
2 u - 24 |
171 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 24
= 5 u - 24
5 u - 24 = 171
5 u = 171 + 24
5 u = 195
1 u = 195 ÷ 5 = 39
Number of grapefruits at first
= 2 u - 24 + 83
= 2 x 39 - 24 + 83
= 78 - 24 + 83
= 137
The number of guavas and grapefruits at first was the same.
Number of guavas sold
= 137 - 1 u
= 137 - 39
= 98
Answer(s): 98
