Six hours ago, a store owner started his day with some mangosteens and lemons in the ratio of 8 : 3. There were 30 lemons. Some of the mangosteens were bought by Winnie. As a result, the number of mangosteens became
45 of the lemons.
- How many mangosteens did the store owner have at first?
- How many lemons did the store owner have to sell in order to have an equal number of mangosteens and lemons?
|
Mangosteens |
Lemons |
Before |
8x5 = 40 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 u |
5x3 = 15 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 3 and 5 is 15.
15 u = 30
1 u = 30 ÷ 15 = 2
Number of mangosteens that the store owner had at first
= 40 u
= 40 x 2
= 80
(b)
Number of lemons that the store owner had to sell to have an equal number of mangosteens and lemons
= 15 u - 12 u
= 3 u
= 3 x 2
= 6
Answer(s): (a) 80; (b) 6