Three hours ago, a store owner started his day with some persimmons and apples in the ratio of 5 : 4. There were 160 apples. Some of the persimmons were bought by Nora. As a result, the number of persimmons became
45 of the apples.
- How many persimmons did the store owner have at first?
- How many apples did the store owner have to sell in order to have an equal number of persimmons and apples?
|
Persimmons |
Apples |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
4x4 = 16 u |
5x4 = 20 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 4 and 5 is 20.
20 u = 160
1 u = 160 ÷ 20 = 8
Number of persimmons that the store owner had at first
= 25 u
= 25 x 8
= 200
(b)
Number of apples that the store owner had to sell to have an equal number of persimmons and apples
= 20 u - 16 u
= 4 u
= 4 x 8
= 32
Answer(s): (a) 200; (b) 32