Two hours ago, a fruit seller started his day with some pomegranates and pears in the ratio of 7 : 4. There were 220 pears. Some of the pomegranates were bought by Dana. As a result, the number of pomegranates became
45 of the pears.
- How many pomegranates did the fruit seller have at first?
- How many pears did the fruit seller have to sell in order to have an equal number of pomegranates and pears?
|
Pomegranates |
Pears |
Before |
7x5 = 35 u |
4x5 = 20 u |
Change |
- ? |
|
After |
4x4 = 16 u |
5x4 = 20 u |
(a)
The number of pears remains unchanged. Make the number of pears the same. LCM of 4 and 5 is 20.
20 u = 220
1 u = 220 ÷ 20 = 11
Number of pomegranates that the fruit seller had at first
= 35 u
= 35 x 11
= 385
(b)
Number of pears that the fruit seller had to sell to have an equal number of pomegranates and pears
= 20 u - 16 u
= 4 u
= 4 x 11
= 44
Answer(s): (a) 385; (b) 44