PSLEA grocer had an equal number of pomegranates, lemons and mangosteens at first. After 64 mangosteens, some pomegranates and lemons were sold, there were 173 fruits left. There were 3 times as many pomegranates as lemons left. The number of mangosteens left was 23 fewer than the number of pomegranates left. How many lemons were sold?
|
Pomegranates |
Lemons |
Mangosteens |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 64 |
|
After |
3 u |
1 u |
3 u - 23 |
173 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 23
= 7 u - 23
7 u - 23 = 173
7 u = 173 + 23
7 u = 196
1 u = 196 ÷ 7 = 28
Number of mangosteens at first
= 3 u - 23 + 64
= 3 x 28 + 41
= 125
The number of mangosteens and lemons at first is the same.
Number of lemons sold
= 125 - 28
= 97
Answer(s): 97