Word Problems on Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you solve a word problem involving ratios?

Back

To solve a word problem involving ratios, identify the quantities being compared, set up a proportion if necessary, and solve for the unknown quantity.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per item.

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion based on the known values and cross-multiply to solve for the unknown.

Front

If Alex uses 5 ounces of chocolate syrup for 2 cups of milk, what is the ratio of chocolate syrup to milk?

Back

The ratio of chocolate syrup to milk is 5:2.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1, such as 60 miles per hour.

Front

If there are 15 grams of fat in 4 ounces of ice cream, how do you find the grams of fat per ounce?

Back

Divide the total grams of fat by the total ounces: 15 grams ÷ 4 ounces = 3.75 grams per ounce.

Front

How do you scale a ratio?

Back

To scale a ratio, multiply or divide both parts of the ratio by the same number.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, allowing you to solve for unknown quantities.