Five hours ago, a stallholder started his day with some mangosteens and starfruits in the ratio of 7 : 4. There were 132 starfruits. Some of the mangosteens were bought by Joelle. As a result, the number of mangosteens became
56 of the starfruits.
- How many mangosteens did the stallholder have left?
- How many mangosteens did the stallholder have to buy in order to have an equal number of mangosteens and starfruits?
|
Mangosteens |
Starfruits |
Before |
7x3 = 21 u |
4x3 = 12 u |
Change |
- ? |
|
After |
5x2 = 10 u |
6x2 = 12 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 4 and 6 is 12.
12 u = 132
1 u = 132 ÷ 12 = 11
Number of mangosteens that the stallholder had left
= 10 u
= 10 x 11
= 110
(b)
Number of mangosteens that the stallholder had to buy to have an equal number of mangosteens and starfruits
= 12 u - 10 u
= 2 u
= 2 x 11
= 22
Answer(s): (a) 110; (b) 22