Four hours ago, a fruit seller started his day with some kiwis and mangosteens in the ratio of 5 : 4. There were 40 mangosteens. Some of the kiwis were bought by Roshel. As a result, the number of kiwis became
45 of the mangosteens.
- How many kiwis 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 kiwis and mangosteens?
|
Kiwis |
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 = 40
1 u = 40 ÷ 20 = 2
Number of kiwis that the fruit seller had at first
= 25 u
= 25 x 2
= 50
(b)
Number of mangosteens that the fruit seller had to sell to have an equal number of kiwis and mangosteens
= 20 u - 16 u
= 4 u
= 4 x 2
= 8
Answer(s): (a) 50; (b) 8