A fruit seller had mangoes and mangosteens. The ratio of mangoes to mangosteens was 2 : 9. After
14 of the mangoes and 54 mangosteens were sold, there were 4 times as many mangoes as mangosteens left. How many mangoes and mangosteens were there at first?
|
Mangoes |
Mangosteens |
Total |
Before |
2 u |
9 u |
11 u |
Change |
- 0.5 u |
- 54 |
|
After |
1.5 u |
6 u |
|
Number of mangoes sold
=
14 x 2 u
= 0.5 u
Number of mangoes left
= 2 u - 0.5 u
= 1.5 u
Number of mangosteens left
= 4 x 1.5 u
= 6 u
Number of mangosteens sold
= 9 u - 6 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Number of mangoes and mangosteens at first
= 2 u + 9 u
= 11 u
= 11 x 18
= 198
Answer(s): 198