PSLEA stallholder had an equal number of pomegranates, mangosteens and chikoos at first. After 45 chikoos, some pomegranates and mangosteens were sold, there were 167 fruits left. There were 2 times as many pomegranates as mangosteens left. The number of chikoos left was 33 less than the number of pomegranates left. How many mangosteens were sold?
|
Pomegranates |
Mangosteens |
Chikoos |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 45 |
|
After |
2 u |
1 u |
2 u - 33 |
167 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 33
= 5 u - 33
5 u - 33 = 167
5 u = 167 + 33
5 u = 200
1 u = 200 ÷ 5 = 40
Number of chikoos at first
= 2 u - 33 + 45
= 2 x 40 + 12
= 92
The number of chikoos and mangosteens at first is the same.
Number of mangosteens sold
= 92 - 40
= 52
Answer(s): 52