Solving Proportions

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 two ratios and set the products equal to each other.

Front

If 4 pages take 18 minutes to read, how do you find the time for 30 pages?

Back

Set up a proportion: 4 pages/18 minutes = 30 pages/x minutes, then cross-multiply and solve for x.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How do you find the unit rate from a ratio?

Back

Divide the first quantity by the second quantity to find the unit rate.

Front

If a photographer takes 12 pictures in 5 minutes, how do you find the time for 132 pictures?

Back

Set up a proportion: 12 pictures/5 minutes = 132 pictures/x minutes, then cross-multiply and solve for x.

Front

What is the formula for finding the weight of multiple items given the weight of a few?

Back

Weight of multiple items = (Weight of few items / Number of few items) * Total number of items.

Front

If 13 candy bars weigh 26 ounces, how do you find the weight of 35 candy bars?

Back

First find the weight of one candy bar, then multiply by 35.

Front

How do you calculate the cost of items based on a given price?

Back

Cost of items = (Cost of known items / Number of known items) * Total number of items.

Front

If 24 loaves of bread cost $48, how do you find the cost of 10 loaves?

Back

Set up a proportion: 24 loaves/$48 = 10 loaves/x dollars, then cross-multiply and solve for x.