Two hours ago, a stallholder started his day with some pomegranates and mangosteens in the ratio of 5 : 3. There were 60 mangosteens. Some of the pomegranates were bought by Gabby. As a result, the number of pomegranates became
35 of the mangosteens.
- How many pomegranates did the stallholder have at first?
- How many mangosteens did the stallholder have to sell in order to have an equal number of pomegranates and mangosteens?
|
Pomegranates |
Mangosteens |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
3x3 = 9 u |
5x3 = 15 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 3 and 5 is 15.
15 u = 60
1 u = 60 ÷ 15 = 4
Number of pomegranates that the stallholder had at first
= 25 u
= 25 x 4
= 100
(b)
Number of mangosteens that the stallholder had to sell to have an equal number of pomegranates and mangosteens
= 15 u - 9 u
= 6 u
= 6 x 4
= 24
Answer(s): (a) 100; (b) 24