Three hours ago, a store owner started his day with some starfruits and lemons in the ratio of 7 : 2. There were 90 lemons. Some of the starfruits were bought by Esther. As a result, the number of starfruits became
45 of the lemons.
- How many starfruits 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 starfruits and lemons?
|
Starfruits |
Lemons |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
4x2 = 8 u |
5x2 = 10 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 2 and 5 is 10.
10 u = 90
1 u = 90 ÷ 10 = 9
Number of starfruits that the store owner had at first
= 35 u
= 35 x 9
= 315
(b)
Number of lemons that the store owner had to sell to have an equal number of starfruits and lemons
= 10 u - 8 u
= 2 u
= 2 x 9
= 18
Answer(s): (a) 315; (b) 18