Eight hours ago, a store owner started his day with some kiwis and mangosteens in the ratio of 5 : 4. There were 80 mangosteens. Some of the kiwis were bought by Jaslyn. As a result, the number of kiwis became
35 of the mangosteens.
- How many kiwis did the store owner have at first?
- How many mangosteens did the store owner 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 |
3x4 = 12 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 = 80
1 u = 80 ÷ 20 = 4
Number of kiwis that the store owner had at first
= 25 u
= 25 x 4
= 100
(b)
Number of mangosteens that the store owner had to sell to have an equal number of kiwis and mangosteens
= 20 u - 12 u
= 8 u
= 8 x 4
= 32
Answer(s): (a) 100; (b) 32