Five hours ago, a store owner started his day with some starfruits and lemons in the ratio of 5 : 2. There were 110 lemons. Some of the starfruits were bought by Fiona. As a result, the number of starfruits became
25 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 |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
2x2 = 4 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 = 110
1 u = 110 ÷ 10 = 11
Number of starfruits that the store owner had at first
= 25 u
= 25 x 11
= 275
(b)
Number of lemons that the store owner had to sell to have an equal number of starfruits and lemons
= 10 u - 4 u
= 6 u
= 6 x 11
= 66
Answer(s): (a) 275; (b) 66