A fruit seller had apples and pomegranates. The ratio of apples to pomegranates was 2 : 7. After
14 of the apples and 5 pomegranates were sold, there were 3 times as many apples as pomegranates left. How many apples and pomegranates were there at first?
| |
Apples |
Pomegranates |
Total |
| Before |
2 u |
7 u |
9 u |
| Change |
- 0.5 u |
- 5 |
|
| After |
1.5 u |
4.5 u |
|
Number of apples sold
=
14 x 2 u
= 0.5 u
Number of apples left
= 2 u - 0.5 u
= 1.5 u
Number of pomegranates left
= 3 x 1.5 u
= 4.5 u
Number of pomegranates sold
= 7 u - 4.5 u
= 2.5 u
2.5 u = 5
1 u = 5 ÷ 2.5 = 2
Number of apples and pomegranates at first
= 2 u + 7 u
= 9 u
= 9 x 2
= 18
Answer(s): 18
