Four hours ago, a fruit seller started his day with some pomegranates and oranges in the ratio of 7 : 3. There were 45 oranges. Some of the pomegranates were bought by Gillian. As a result, the number of pomegranates became
25 of the oranges.
- How many pomegranates did the fruit seller have at first?
- How many oranges did the fruit seller have to sell in order to have an equal number of pomegranates and oranges?
|
Pomegranates |
Oranges |
Before |
7x5 = 35 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 = 45
1 u = 45 ÷ 15 = 3
Number of pomegranates that the fruit seller had at first
= 35 u
= 35 x 3
= 105
(b)
Number of oranges that the fruit seller had to sell to have an equal number of pomegranates and oranges
= 15 u - 6 u
= 9 u
= 9 x 3
= 27
Answer(s): (a) 105; (b) 27