Answer:
The most basic way is to divide and multiply.
For example, if you say there are 50 candy pieces and the proportion of hard to chewy is 2 to 3, you would add variables to make it easier to comprehend.
2x to 3x
Total of 5x = 50
x = 10
So you know there are 2(10) = 20 hard candies and 3(10) chewy candies.
Another scenario could be 20 hard candies and 30 chewy candies form to make a basket and you want to make another with the same proportion. If you have already 50 hard, you want to find how many chewy.
First, simplify to get 2:3 for the already made.
Place in a fraction as 2/3
Substitute x in for the chewy and get 50/x (*** IMPORTANT: Keep the same on both fractions, constant by either doing the chewy/ hard or hard/ chewy)
Place side by side
2/ 50/
3 x
You can cross multiply and get
2x = 150
x = 75
You would need 75 chewy candies!
Now, answers....
The first example is NOT because 7 x 48 doesn't equal 6 x 52. Also, 6 x 8 = 48 but 7 x 8 doesn't equal 52.
Secondly, 5 x 6 is 30, so you know you need to multiply the bottom by 6.
6a = 54
a = 9
Hooe this helps! :)