PSLEA grocer had the same number of pears, mangoes and guavas at first. After 54 guavas, some pears and mangoes were sold, there were 146 fruits left. There were 2 times as many pears as mangoes left. The number of guavas left was 19 fewer than the number of pears left. How many mangoes were sold?
|
Pears |
Mangoes |
Guavas |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 54 |
|
After |
2 u |
1 u |
2 u - 19 |
146 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 19
= 5 u - 19
5 u - 19 = 146
5 u = 146 + 19
5 u = 165
1 u = 165 ÷ 5 = 33
Number of guavas at first
= 2 u - 19 + 54
= 2 x 33 + 35
= 101
The number of guavas and mangoes at first is the same.
Number of mangoes sold
= 101 - 33
= 68
Answer(s): 68