PSLEA store owner had an equal number of pomegranates, guavas and mangosteens at first. After 45 mangosteens, some pomegranates and guavas were sold, there were 97 fruits left. There were 3 times as many pomegranates as guavas left. The number of mangosteens left was 15 less than the number of pomegranates left. How many guavas were sold?
|
Pomegranates |
Guavas |
Mangosteens |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 45 |
|
After |
3 u |
1 u |
3 u - 15 |
97 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 15
= 7 u - 15
7 u - 15 = 97
7 u = 97 + 15
7 u = 112
1 u = 112 ÷ 7 = 16
Number of mangosteens at first
= 3 u - 15 + 45
= 3 x 16 + 30
= 78
The number of mangosteens and guavas at first is the same.
Number of guavas sold
= 78 - 16
= 62
Answer(s): 62