A fruit seller had pomegranates and starfruits. The ratio of pomegranates to starfruits was 3 : 7. After
14 of the pomegranates and 30 starfruits were sold, there were 2 times as many pomegranates as starfruits left. How many pomegranates and starfruits were there at first?
| |
Pomegranates |
Starfruits |
Total |
| Before |
3 u |
7 u |
10 u |
| Change |
- 0.75 u |
- 30 |
|
| After |
2.25 u |
4.5 u |
|
Number of pomegranates sold
=
14 x 3 u
= 0.75 u
Number of pomegranates left
= 3 u - 0.75 u
= 2.25 u
Number of starfruits left
= 2 x 2.25 u
= 4.5 u
Number of starfruits sold
= 7 u - 4.5 u
= 2.5 u
2.5 u = 30
1 u = 30 ÷ 2.5 = 12
Number of pomegranates and starfruits at first
= 3 u + 7 u
= 10 u
= 10 x 12
= 120
Answer(s): 120
