A grocer had the same number of pears, peaches and lemons at first. After 90 lemons, some pears and peaches were used, there were 187 fruits left. There were twice as many pears as peaches left. The number of lemons left was 18 fewer than the number of pears. How many peaches were used?
| |
Pears |
Peaches |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 90 |
|
| After |
2 u |
1 u |
2 u - 18 |
187 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 18
= 5 u - 18
5 u - 18 = 187
5 u = 187 + 18
5 u = 205
1 u = 205 ÷ 5 = 41
Number of lemons at first
= 2 u - 18 + 90
= 2 x 41 - 18 + 90
= 82 - 18 + 90
= 154
The number of peaches and lemons at first was the same.
Number of peaches used
= 154 - 1 u
= 154 - 41
= 113
Answer(s): 113
