A grocer had the same number of guavas, pears and pomegranates at first. After 107 pomegranates, some guavas and pears were used, there were 106 fruits left. There were twice as many guavas as pears left. The number of pomegranates left was 24 less than the number of guavas. How many pears were used?
| |
Guavas |
Pears |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 107 |
|
| After |
2 u |
1 u |
2 u - 24 |
106 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 24
= 5 u - 24
5 u - 24 = 106
5 u = 106 + 24
5 u = 130
1 u = 130 ÷ 5 = 26
Number of pomegranates at first
= 2 u - 24 + 107
= 2 x 26 - 24 + 107
= 52 - 24 + 107
= 135
The number of pears and pomegranates at first was the same.
Number of pears used
= 135 - 1 u
= 135 - 26
= 109
Answer(s): 109
