Four hours ago, a store owner started his day with some pomegranates and oranges in the ratio of 5 : 3. There were 75 oranges. Some of the pomegranates were bought by Usha. As a result, the number of pomegranates became
25 of the oranges.
- How many pomegranates did the store owner have at first?
- How many oranges did the store owner have to sell in order to have an equal number of pomegranates and oranges?
|
Pomegranates |
Oranges |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
2x3 = 6 u |
5x3 = 15 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 3 and 5 is 15.
15 u = 75
1 u = 75 ÷ 15 = 5
Number of pomegranates that the store owner had at first
= 25 u
= 25 x 5
= 125
(b)
Number of oranges that the store owner had to sell to have an equal number of pomegranates and oranges
= 15 u - 6 u
= 9 u
= 9 x 5
= 45
Answer(s): (a) 125; (b) 45