A fruit seller had the same number of peaches, mangoes and starfruits at first. After 77 starfruits, some peaches and mangoes were sold, there were 192 fruits left. There were thrice as many peaches as mangoes left. The number of starfruits left was 32 less than the number of peaches. How many mangoes were sold?
| |
Peaches |
Mangoes |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 77 |
|
| After |
3 u |
1 u |
3 u - 32 |
192 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 32
= 7 u - 32
7 u - 32 = 192
7 u = 192 + 32
7 u = 224
1 u = 224 ÷ 7 = 32
Number of starfruits at first
= 3 u - 32 + 77
= 3 x 32 - 32 + 77
= 96 - 32 + 77
= 141
The number of mangoes and starfruits at first was the same.
Number of mangoes sold
= 141 - 1 u
= 141 - 32
= 109
Answer(s): 109
