A grocer had the same number of grapefruits, guavas and peaches at first. After 110 peaches, some grapefruits and guavas were thrown away, there were 140 fruits left. There were twice as many grapefruits as guavas left. The number of peaches left was 40 less than the number of grapefruits. How many guavas were thrown away?
| |
Grapefruits |
Guavas |
Peaches |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 110 |
|
| After |
2 u |
1 u |
2 u - 40 |
140 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 40
= 5 u - 40
5 u - 40 = 140
5 u = 140 + 40
5 u = 180
1 u = 180 ÷ 5 = 36
Number of peaches at first
= 2 u - 40 + 110
= 2 x 36 - 40 + 110
= 72 - 40 + 110
= 142
The number of guavas and peaches at first was the same.
Number of guavas thrown away
= 142 - 1 u
= 142 - 36
= 106
Answer(s): 106
