A fruit seller had pomegranates and mangosteens. The ratio of pomegranates to mangosteens was 3 : 7. After
34 of the pomegranates and 38 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 |
3 u |
7 u |
10 u |
| Change |
- 2.25 u |
- 38 |
|
| After |
0.75 u |
2.25 u |
|
Number of pomegranates sold
=
34 x 3 u
= 2.25 u
Number of pomegranates left
= 3 u - 2.25 u
= 0.75 u
Number of mangosteens left
= 3 x 0.75 u
= 2.25 u
Number of mangosteens sold
= 7 u - 2.25 u
= 4.75 u
4.75 u = 38
1 u = 38 ÷ 4.75 = 8
Number of pomegranates and mangosteens at first
= 3 u + 7 u
= 10 u
= 10 x 8
= 80
Answer(s): 80
