Four hours ago, a stallholder started his day with some starfruits and mangosteens in the ratio of 5 : 2. There were 110 mangosteens. Some of the starfruits were bought by Gwen. As a result, the number of starfruits became
25 of the mangosteens.
- How many starfruits did the stallholder have at first?
- How many mangosteens did the stallholder have to sell in order to have an equal number of starfruits and mangosteens?
|
Starfruits |
Mangosteens |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
2x2 = 4 u |
5x2 = 10 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 2 and 5 is 10.
10 u = 110
1 u = 110 ÷ 10 = 11
Number of starfruits that the stallholder had at first
= 25 u
= 25 x 11
= 275
(b)
Number of mangosteens that the stallholder had to sell to have an equal number of starfruits and mangosteens
= 10 u - 4 u
= 6 u
= 6 x 11
= 66
Answer(s): (a) 275; (b) 66