A stallholder had the same number of mangosteens, peaches and lemons at first. After 75 lemons, some mangosteens and peaches were used, there were 126 fruits left. There were twice as many mangosteens as peaches left. The number of lemons left was 39 less than the number of mangosteens. How many peaches were used?
| |
Mangosteens |
Peaches |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 75 |
|
| After |
2 u |
1 u |
2 u - 39 |
126 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 39
= 5 u - 39
5 u - 39 = 126
5 u = 126 + 39
5 u = 165
1 u = 165 ÷ 5 = 33
Number of lemons at first
= 2 u - 39 + 75
= 2 x 33 - 39 + 75
= 66 - 39 + 75
= 102
The number of peaches and lemons at first was the same.
Number of peaches used
= 102 - 1 u
= 102 - 33
= 69
Answer(s): 69
