Two hours ago, a fruit seller started his day with some mangosteens and starfruits in the ratio of 8 : 3. There were 60 starfruits. Some of the mangosteens were bought by Olivia. As a result, the number of mangosteens became
34 of the starfruits.
- How many mangosteens 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 mangosteens and starfruits?
|
Mangosteens |
Starfruits |
Before |
8x4 = 32 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 3 and 4 is 12.
12 u = 60
1 u = 60 ÷ 12 = 5
Number of mangosteens that the fruit seller had at first
= 32 u
= 32 x 5
= 160
(b)
Number of starfruits that the fruit seller had to sell to have an equal number of mangosteens and starfruits
= 12 u - 9 u
= 3 u
= 3 x 5
= 15
Answer(s): (a) 160; (b) 15