Question

what proportion can be used to find 65% of 90?
a. $\frac{65}{90}=\frac{x}{100}$
b. $\frac{65}{x}=\frac{90}{100}$
c. $\frac{65}{100}=\frac{x}{90}$
d. $\frac{x}{100}=\frac{90}{65}$

Explanation:

Step1: Recall percentage proportion

To find a percentage of a number, we use the proportion \(\frac{\text{percent}}{100}=\frac{\text{part}}{\text{whole}}\). Here, percent is 65, whole is 90, and part is \(x\).

Step2: Substitute values into proportion

Substituting, we get \(\frac{65}{100}=\frac{x}{90}\), which matches option C.

Answer:

C. \(\frac{65}{100}=\frac{x}{90}\)