Solving Proportions

Front

What is a proportion?

Back

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

Front

How do you set up a proportion to solve a problem?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

What is cross-multiplication in solving proportions?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 13 out of 20 homes have a personal computer, how do you find the expected number of computers in 60 homes?

Back

Set up the proportion 13/20 = x/60 and solve for x using cross-multiplication.

Front

What is the formula to find the unit rate?

Back

The unit rate is found by dividing the numerator by the denominator, giving the amount per one unit.

Front

How do you determine how long a larger bottle of shampoo will last based on a smaller bottle?

Back

Set up a proportion based on the volume and duration: (12 ounces / 16 weeks) = (18 ounces / x weeks) and solve for x.

Front

What is the cost per slice of pizza if a pizza with 8 slices costs $12?

Back

To find the cost per slice, divide the total cost by the number of slices: $12 / 8 slices = $1.50 per slice.

Front

How can you find the distance run in a shorter time based on a longer time?

Back

Use the ratio of distance to time to set up a proportion: (6 miles / 57 minutes) = (x miles / 19 minutes) and solve for x.

Front

What is the relationship between ice cream cones and brownies sold in the shop?

Back

The relationship is a ratio of 5 ice cream cones for every 3 brownies, which can be expressed as 5/3.

Front

How do you calculate the number of ice cream cones sold if you know the number of brownies?

Back

Set up the proportion based on the known ratio: 5/3 = x/24 (where x is the number of ice cream cones) and solve for x.