Four hours ago, a fruit seller started his day with some apples and pomegranates in the ratio of 5 : 3. There were 108 pomegranates. Some of the apples were bought by Wendy. As a result, the number of apples became
34 of the pomegranates.
- How many apples did the fruit seller have left?
- How many apples did the fruit seller have to buy in order to have an equal number of apples and pomegranates?
|
Apples |
Pomegranates |
Before |
5x4 = 20 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 3 and 4 is 12.
12 u = 108
1 u = 108 ÷ 12 = 9
Number of apples that the fruit seller had left
= 9 u
= 9 x 9
= 81
(b)
Number of apples that the fruit seller had to buy to have an equal number of apples and pomegranates
= 12 u - 9 u
= 3 u
= 3 x 9
= 27
Answer(s): (a) 81; (b) 27