Final answer:
There will be 45 orange candies per 100 candies if 9 out of 20 candies are orange. We find this number by setting up a proportion and solving for the number of orange candies per 100.
Step-by-step explanation:
The question asks to find out how many orange candies there will be per 100 candies if 9 out of 20 candies are orange. To solve this, we can set up a proportion because the ratio of orange candies to total candies should remain consistent as the total amount of candies changes. The proportion is (orange candies)/(total candies) = (orange candies per 100)/(100).
If 9 out of 20 candies are orange, then the proportion is 9/20 = x/100, where x represents the number of orange candies per 100. To find x, we can cross-multiply and solve for x: (9)(100) = (20)(x), which gives us 900 = 20x. Dividing both sides by 20, we find that x = 45.
Therefore, there will be 45 orange candies per 100 candies total.