Eight hours ago, a fruit seller started his day with some pomegranates and mangosteens in the ratio of 5 : 4. There were 240 mangosteens. Some of the pomegranates were bought by Emma. As a result, the number of pomegranates became
45 of the mangosteens.
- How many pomegranates did the fruit seller have at first?
- How many mangosteens did the fruit seller have to sell in order to have an equal number of pomegranates and mangosteens?
|
Pomegranates |
Mangosteens |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
4x4 = 16 u |
5x4 = 20 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 4 and 5 is 20.
20 u = 240
1 u = 240 ÷ 20 = 12
Number of pomegranates that the fruit seller had at first
= 25 u
= 25 x 12
= 300
(b)
Number of mangosteens that the fruit seller had to sell to have an equal number of pomegranates and mangosteens
= 20 u - 16 u
= 4 u
= 4 x 12
= 48
Answer(s): (a) 300; (b) 48