Six hours ago, a fruit seller started his day with some pomegranates and apples in the ratio of 5 : 2. There were 70 apples. Some of the pomegranates were bought by Emily. As a result, the number of pomegranates became
45 of the apples.
- How many pomegranates did the fruit seller have left?
- How many pomegranates did the fruit seller have to buy in order to have an equal number of pomegranates and apples?
|
Pomegranates |
Apples |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
4x2 = 8 u |
5x2 = 10 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 2 and 5 is 10.
10 u = 70
1 u = 70 ÷ 10 = 7
Number of pomegranates that the fruit seller had left
= 8 u
= 8 x 7
= 56
(b)
Number of pomegranates that the fruit seller had to buy to have an equal number of pomegranates and apples
= 10 u - 8 u
= 2 u
= 2 x 7
= 14
Answer(s): (a) 56; (b) 14