Eight hours ago, a fruit seller started his day with some persimmons and starfruits in the ratio of 5 : 3. There were 30 starfruits. Some of the persimmons were bought by Nicole. As a result, the number of persimmons became
45 of the starfruits.
- How many persimmons 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 persimmons and starfruits?
|
Persimmons |
Starfruits |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 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 = 30
1 u = 30 ÷ 15 = 2
Number of persimmons that the fruit seller had at first
= 25 u
= 25 x 2
= 50
(b)
Number of starfruits that the fruit seller had to sell to have an equal number of persimmons and starfruits
= 15 u - 12 u
= 3 u
= 3 x 2
= 6
Answer(s): (a) 50; (b) 6