Question

1. a recipe uses 3 tablespoons of sugar out of 12 total tablespoons of dry ingredients. what percent of the dry ingredients is sugar?

\\(\frac{x}{100}=\frac{3}{12}\\) 25%

1. a library has 44 fiction books out of 110 books. what percent of the books are fiction?

\\(\frac{x}{100}=\frac{44}{110}\\) 40%

1. a clinic vaccinated 18 people out of 60 patients that day. what percent were vaccinated?

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

Explanation:

Question 4

Step1: Set up proportion

We have the proportion $\frac{x}{100}=\frac{3}{12}$, where $x$ is the percentage we want to find.

Step2: Cross - multiply

Cross - multiplying gives us $12x = 3\times100$. So, $12x=300$.

Step3: Solve for x

Divide both sides of the equation by 12: $x=\frac{300}{12}=25$.

Step1: Set up proportion

We have the proportion $\frac{x}{100}=\frac{44}{110}$, where $x$ is the percentage of fiction books.

Step2: Cross - multiply

Cross - multiplying gives us $110x = 44\times100$. So, $110x = 4400$.

Step3: Solve for x

Divide both sides of the equation by 110: $x=\frac{4400}{110}=40$.

Step1: Set up proportion

We have the proportion $\frac{x}{100}=\frac{18}{60}$, where $x$ is the percentage of vaccinated patients.

Step2: Cross - multiply

Cross - multiplying gives us $60x = 18\times100$. So, $60x = 1800$.

Step3: Solve for x

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

Answer:

25%

Question 5