Question

use the proportion method to solve the following: 750 is what percent of 50?
1500%
15%
75%
1.5%
question 10 (2.5 points)
which proportional equation and answer below represent the question: what percent of 25 is 4?
4/25 = x/100 & x=16%
x/100 = 25/4 & x=625%
4/100 = x/25 & x=1250%
25/100 = 4x & x=0.0625%

Explanation:

First Question: 750 is what percent of 50?

Step1: Recall proportion method for percent

The proportion method for "is what percent of" is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$. Here, part = 750, whole = 50, let percent be $x$. So $\frac{750}{50}=\frac{x}{100}$.

Step2: Solve for $x$

Simplify $\frac{750}{50}=15$, then $15=\frac{x}{100}$. Multiply both sides by 100: $x = 15\times100 = 1500$. So the percent is 1500%.

Step1: Set up the proportion

Using the proportion $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$, part = 4, whole = 25, percent = $x$. So $\frac{4}{25}=\frac{x}{100}$.

Step2: Solve for $x$

Cross - multiply: $25x = 4\times100$. Then $25x = 400$. Divide both sides by 25: $x=\frac{400}{25}=16$. So the equation is $\frac{4}{25}=\frac{x}{100}$ and $x = 16\%$.

Answer:

1500%

Second Question: What percent of 25 is 4?