PSLEA grocer had an equal number of dragonfruits, mangoes and pears at first. After 60 pears, some dragonfruits and mangoes were sold, there were 169 fruits left. There were 4 times as many dragonfruits as mangoes left. The number of pears left was 29 fewer than the number of dragonfruits left. How many mangoes were sold?
|
Dragonfruits |
Mangoes |
Pears |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 60 |
|
After |
4 u |
1 u |
4 u - 29 |
169 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 29
= 9 u - 29
9 u - 29 = 169
9 u = 169 + 29
9 u = 198
1 u = 198 ÷ 9 = 22
Number of pears at first
= 4 u - 29 + 60
= 4 x 22 + 31
= 119
The number of pears and mangoes at first is the same.
Number of mangoes sold
= 119 - 22
= 97
Answer(s): 97