Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, typically having a denominator of 1.

Front

If the ratio of cats to dogs is 3 to 5, how do you find the number of cats if you know the number of dogs?

Back

Use the ratio to set up a proportion: 3/5 = x/number of dogs, then solve for x.

Front

What is the formula to find the total cost when given a price per unit?

Back

Total Cost = Price per Unit × Number of Units.

Front

If 6 pounds of hamburger meat costs $12, what is the cost per pound?

Back

Cost per pound = Total Cost / Total Pounds = $12 / 6 = $2 per pound.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you express the ratio of 4 to 8 in simplest form?

Back

Divide both numbers by their greatest common divisor (4): 4/8 = 1/2.

Front

What is the cross-multiplication method used for?

Back

It is used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.