A fruit seller had pomegranates and mangosteens. The ratio of pomegranates to mangosteens was 4 : 11. After
25 of the pomegranates and 76 mangosteens were sold, there were 3 times as many pomegranates as mangosteens left. How many pomegranates and mangosteens were there at first?
|
Pomegranates |
Mangosteens |
Total |
Before |
4 u |
11 u |
15 u |
Change |
- 1.6 u |
- 76 |
|
After |
2.4 u |
7.2 u |
|
Number of pomegranates sold
=
25 x 4 u
= 1.6 u
Number of pomegranates left
= 4 u - 1.6 u
= 2.4 u
Number of mangosteens left
= 3 x 2.4 u
= 7.2 u
Number of mangosteens sold
= 11 u - 7.2 u
= 3.8 u
3.8 u = 76
1 u = 76 ÷ 3.8 = 20
Number of pomegranates and mangosteens at first
= 4 u + 11 u
= 15 u
= 15 x 20
= 300
Answer(s): 300