PSLEA fruit seller had the same number of lemons, mangosteens and pears at first. After 71 pears, some lemons and mangosteens were sold, there were 151 fruits left. There were 2 times as many lemons as mangosteens left. The number of pears left was 29 fewer than the number of lemons left. How many mangosteens were sold?
|
Lemons |
Mangosteens |
Pears |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 71 |
|
After |
2 u |
1 u |
2 u - 29 |
151 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 29
= 5 u - 29
5 u - 29 = 151
5 u = 151 + 29
5 u = 180
1 u = 180 ÷ 5 = 36
Number of pears at first
= 2 u - 29 + 71
= 2 x 36 + 42
= 114
The number of pears and mangosteens at first is the same.
Number of mangosteens sold
= 114 - 36
= 78
Answer(s): 78