Ratios and Proportions

Ratios and Proportions

• I can write a ratio given the relationship between two quantities.

• ​I can solve proportions.

• ​I can use proportional reasoning to solve problems.

Vocab

Ratio - a comparison of two quantities

Proportion - an equation where two ratios are equal

Percent - means "per hundred"

Taxes - fees charged by the government to pay for creating and taking care of things that we all share like roads, parks, and schools.

Discounts - money off of items we buy

Markup - when stores increase the price of an item to make money

Tip - money you give to someone in return for his or her service

Interest - a fee that someone pays in order to borrow money

Multiple Select

I can write a ratio given the relationship between two quantities.

There are 12 boys in a class and 17 girls in a class. Write a ratio to represent the relationship between the number of boys and girls.

• 12:29

• 12:17

• $$\frac{12}{29}$$  

• $$\frac{12}{17}$$  

Multiple Select

I can write a ratio given the relationship between two quantities.

A class has 15 people who prefer dogs and 10 people who prefer cats. Write a ratio to represent the relationship between the number of people who prefer dogs to the number of people who prefer cats.

• 3:2

• 3 to 2

• $$\frac{15}{25}$$  

• $$\frac{3}{2}$$  

Multiple Select

I can write a ratio given the relationship between two quantities.

A restaurant has 21 items with beef in it and 7 items with chicken in it. Write a ratio to represent the relationship between the number of items with beef in it compared to the number of items with chicken in it.

• 21:7

• 3 to 1

• $$\frac{3}{4}$$  

• $$\frac{3}{1}$$  

Multiple Choice

I can solve proportions.

$$\frac{49}{x}=\frac{7}{2}$$  

• $$x=7$$  

• $$x=14$$  

• $$x=\frac{49}{14}$$  

• $$98$$  

Multiple Choice

I can solve proportions.

$$\frac{2}{7}=\frac{6}{x}$$  

• $$x=21$$  

• $$x=42$$  

• $$x=\frac{6}{7}$$  

• $$3$$  

Multiple Choice

I can solve proportions.

$$\frac{x}{9}=\frac{7}{3}$$  

• $$x=21$$  

• $$x=63$$  

• $$x=\frac{6}{7}$$  

• $$3$$  

Multiple Choice

I can solve proportions with a binomial.

$$\frac{x-5}{5}=\frac{x-8}{2}$$

• $$x=10$$

• $$x=5$$

• $$x=-5$$

• $$x=2$$