Seven hours ago, a store owner started his day with some lemons and starfruits in the ratio of 8 : 5. There were 80 starfruits. Some of the lemons were bought by Fiona. As a result, the number of lemons became
34 of the starfruits.
- How many lemons did the store owner have at first?
- How many starfruits did the store owner have to sell in order to have an equal number of lemons and starfruits?
|
Lemons |
Starfruits |
Before |
8x4 = 32 u |
5x4 = 20 u |
Change |
- ? |
|
After |
3x5 = 15 u |
4x5 = 20 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 5 and 4 is 20.
20 u = 80
1 u = 80 ÷ 20 = 4
Number of lemons that the store owner had at first
= 32 u
= 32 x 4
= 128
(b)
Number of starfruits that the store owner had to sell to have an equal number of lemons and starfruits
= 20 u - 15 u
= 5 u
= 5 x 4
= 20
Answer(s): (a) 128; (b) 20