Two hours ago, a fruit seller started his day with some pomegranates and starfruits in the ratio of 5 : 3. There were 150 starfruits. Some of the pomegranates were bought by Natalie. As a result, the number of pomegranates became
25 of the starfruits.
- How many pomegranates did the fruit seller have at first?
- How many starfruits did the fruit seller have to sell in order to have an equal number of pomegranates and starfruits?
|
Pomegranates |
Starfruits |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
2x3 = 6 u |
5x3 = 15 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 3 and 5 is 15.
15 u = 150
1 u = 150 ÷ 15 = 10
Number of pomegranates that the fruit seller had at first
= 25 u
= 25 x 10
= 250
(b)
Number of starfruits that the fruit seller had to sell to have an equal number of pomegranates and starfruits
= 15 u - 6 u
= 9 u
= 9 x 10
= 90
Answer(s): (a) 250; (b) 90