Two hours ago, a fruit seller started his day with some pomegranates and oranges in the ratio of 8 : 7. There were 245 oranges. Some of the pomegranates were bought by Victoria. As a result, the number of pomegranates became
45 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 |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
4x7 = 28 u |
5x7 = 35 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 7 and 5 is 35.
35 u = 245
1 u = 245 ÷ 35 = 7
Number of pomegranates that the fruit seller had at first
= 40 u
= 40 x 7
= 280
(b)
Number of oranges that the fruit seller had to sell to have an equal number of pomegranates and oranges
= 35 u - 28 u
= 7 u
= 7 x 7
= 49
Answer(s): (a) 280; (b) 49