Question

If 27 out of 90 desserts are offered for free, what is the equivalent fraction in terms of x/100?

A) 30/100
B) 50/100
C) 60/100
D) 33.33/100

Answer 1

To find the equivalent fraction of 27 out of 90 in terms of x/100, a proportion is set up, and after cross-multiplying and simplifying, the result is x = 30. Therefore, the correct fraction equivalent is 30/100, which can also be represented as 30%.

Step-by-step explanation:

To find the equivalent fraction of 27 out of 90 desserts in terms of x/100, we need to set up a proportion where the total number of desserts corresponds to 100. We are given that 27 desserts are free out of a total of 90. The equivalent fraction would have the same ratio but with a denominator of 100 to represent a percentage.

Setting up the proportion, we have:

27 desserts / 90 desserts = x desserts / 100 desserts

Now we cross-multiply to solve for x:

27 * 100 = 90 * x

2700 = 90x

To find x, we divide both sides by 90:

2700 / 90 = x

x = 30

Therefore, the equivalent fraction of the free desserts is 30/100.