Question

1. a classroom has 18 girls out of 30 students. what percent of the class are girls?

\\(\frac{x}{100}=\frac{18}{30}\\) \\(60\\%

1. a store sold 75 out of 250 shirts today. what percent of the shirts were sold?

\\(\frac{x}{100}=\frac{75}{250}\\) \\(30\\%

1. on a survey, 39 people liked option a out of 65 respondents. what percent chose option a?

\\(\frac{x}{100}=\frac{39}{65}\\) \\(60\\%

Explanation:

Problem 1

Step1: Set up proportion

We have the proportion $\frac{x}{100}=\frac{18}{30}$, where $x$ is the percentage of girls.

Step2: Cross - multiply

Cross - multiplying gives us $30x = 18\times100$. So, $30x=1800$.

Step3: Solve for x

Divide both sides of the equation by 30: $x=\frac{1800}{30}=60$.

Step1: Set up proportion

We have the proportion $\frac{x}{100}=\frac{75}{250}$, where $x$ is the percentage of sold shirts.

Step2: Cross - multiply

Cross - multiplying gives us $250x = 75\times100$. So, $250x = 7500$.

Step3: Solve for x

Divide both sides of the equation by 250: $x=\frac{7500}{250}=30$.

Step1: Set up proportion

We have the proportion $\frac{x}{100}=\frac{39}{65}$, where $x$ is the percentage of people who chose option A.

Step2: Cross - multiply

Cross - multiplying gives us $65x = 39\times100$. So, $65x = 3900$.

Step3: Solve for x

Divide both sides of the equation by 65: $x=\frac{3900}{65}=60$.

Answer:

60%

Problem 2