Four hours ago, a fruit seller started his day with some pomegranates and apples in the ratio of 8 : 3. There were 132 apples. Some of the pomegranates were bought by Joelle. As a result, the number of pomegranates became
34 of the apples.
- How many pomegranates did the fruit seller have at first?
- How many apples did the fruit seller have to sell in order to have an equal number of pomegranates and apples?
|
Pomegranates |
Apples |
Before |
8x4 = 32 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 3 and 4 is 12.
12 u = 132
1 u = 132 ÷ 12 = 11
Number of pomegranates that the fruit seller had at first
= 32 u
= 32 x 11
= 352
(b)
Number of apples that the fruit seller had to sell to have an equal number of pomegranates and apples
= 12 u - 9 u
= 3 u
= 3 x 11
= 33
Answer(s): (a) 352; (b) 33