Ratio and Proportions

Front

What is a Ratio?

Back

A ratio is a comparison of two quantities.

Front

How do you calculate the price per gallon if you paid $15.00 for 6 gallons of gasoline?

Back

Price per gallon = Total cost / Number of gallons = $15.00 / 6 = $2.50.

Front

What is the ratio of red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The total number of toy cars = 2 + 3 + 5 = 10. The ratio of red toy cars to all toy cars = 3:10.

Front

If a cake recipe calls for 1.5 cups of milk and 3 cups of flour, how much milk is needed if 5 cups of flour are used?

Back

To keep the proportions correct, use 2.5 cups of milk.

Front

Do the ratios 1:2 and 2:4 form a proportion?

Back

No, they do not form a proportion because 1/2 is not equal to 2/4.

Front

What is a proportion?

Back

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

Front

If 3/4 of a recipe requires 2 cups of sugar, how much sugar is needed for the whole recipe?

Back

For the whole recipe, you need 2 cups / (3/4) = 2 * (4/3) = 8/3 cups or approximately 2.67 cups.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If a car travels 60 miles in 1 hour, what is the speed in miles per minute?

Back

Speed = 60 miles / 60 minutes = 1 mile per minute.

Front

What is the simplest form of the ratio 8:12?

Back

The simplest form of the ratio 8:12 is 2:3.