A fruit seller had mangoes and mangosteens. The ratio of mangoes to mangosteens was 3 : 11. After
14 of the mangoes and 85 mangosteens were sold, there were 3 times as many mangoes as mangosteens left. How many mangoes and mangosteens were there at first?
|
Mangoes |
Mangosteens |
Total |
Before |
3 u |
11 u |
14 u |
Change |
- 0.75 u |
- 85 |
|
After |
2.25 u |
6.75 u |
|
Number of mangoes sold
=
14 x 3 u
= 0.75 u
Number of mangoes left
= 3 u - 0.75 u
= 2.25 u
Number of mangosteens left
= 3 x 2.25 u
= 6.75 u
Number of mangosteens sold
= 11 u - 6.75 u
= 4.25 u
4.25 u = 85
1 u = 85 ÷ 4.25 = 20
Number of mangoes and mangosteens at first
= 3 u + 11 u
= 14 u
= 14 x 20
= 280
Answer(s): 280