Six hours ago, a fruit seller started his day with some mangosteens and starfruits in the ratio of 5 : 3. There were 30 starfruits. Some of the mangosteens were bought by Hazel. As a result, the number of mangosteens became
25 of the starfruits.
- How many mangosteens did the fruit seller have left?
- How many mangosteens did the fruit seller have to buy in order to have an equal number of mangosteens and starfruits?
|
Mangosteens |
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 = 30
1 u = 30 ÷ 15 = 2
Number of mangosteens that the fruit seller had left
= 6 u
= 6 x 2
= 12
(b)
Number of mangosteens that the fruit seller had to buy to have an equal number of mangosteens and starfruits
= 15 u - 6 u
= 9 u
= 9 x 2
= 18
Answer(s): (a) 12; (b) 18