A grocer had the same number of peaches, mangoes and mangosteens at first. After 43 mangosteens, some peaches and mangoes were sold, there were 178 fruits left. There were thrice as many peaches as mangoes left. The number of mangosteens left was 32 less than the number of peaches. How many mangoes were sold?
| |
Peaches |
Mangoes |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 43 |
|
| After |
3 u |
1 u |
3 u - 32 |
178 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 32
= 7 u - 32
7 u - 32 = 178
7 u = 178 + 32
7 u = 210
1 u = 210 ÷ 7 = 30
Number of mangosteens at first
= 3 u - 32 + 43
= 3 x 30 - 32 + 43
= 90 - 32 + 43
= 101
The number of mangoes and mangosteens at first was the same.
Number of mangoes sold
= 101 - 1 u
= 101 - 30
= 71
Answer(s): 71
