Six hours ago, a grocer started his day with some starfruits and mangosteens in the ratio of 5 : 3. There were 96 mangosteens. Some of the starfruits were bought by Cathy. As a result, the number of starfruits became
34 of the mangosteens.
- How many starfruits did the grocer have left?
- How many starfruits did the grocer have to buy in order to have an equal number of starfruits and mangosteens?
|
Starfruits |
Mangosteens |
Before |
5x4 = 20 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 3 and 4 is 12.
12 u = 96
1 u = 96 ÷ 12 = 8
Number of starfruits that the grocer had left
= 9 u
= 9 x 8
= 72
(b)
Number of starfruits that the grocer had to buy to have an equal number of starfruits and mangosteens
= 12 u - 9 u
= 3 u
= 3 x 8
= 24
Answer(s): (a) 72; (b) 24