Proportions: Word Problems

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

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can find the missing value by rearranging this equation.

Front

If 3 out of 5 teachers wore college shirts, what does this represent?

Back

This represents a ratio of teachers wearing college shirts to the total number of teachers.

Front

How do you find the total number of teachers if 21 teachers wore college shirts and the ratio is 3/5?

Back

Set up the proportion: 3/5 = 21/x, then cross-multiply to find x.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed as: Distance = Rate × Time.

Front

If Ken's car goes 78 miles on 3 gallons, how do you find the gallons needed for 130 miles?

Back

Set up a proportion: 78/3 = 130/x, then cross-multiply to solve for x.

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 check if two ratios are equivalent?

Back

You can cross-multiply and see if the products are equal.

Front

What is a ratio?

Back

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