Solving 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

If a car travels 360 miles in 6 hours, what is its speed in miles per hour?

Back

60 miles per hour.

Front

If a recipe requires 2 cups of flour for 12 cookies, how much flour is needed for 1 cookie?

Back

1/6 cup of flour.

Front

What is the formula to find the distance traveled if speed and time are known?

Back

Distance = Speed × Time.

Front

If 4 cups of flour make 16 cookies, how many cups are needed for 32 cookies?

Back

8 cups of flour.

Front

What is the relationship between time and distance in a constant speed scenario?

Back

Distance is directly proportional to time when speed is constant.

Front

If a construction team can build 4 houses in 8 weeks, how many houses can they build in 1 week?

Back

0.5 houses per week.

Front

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

Back

Identify the two ratios involved and set them equal to each other.

Front

What is the unit rate?

Back

The unit rate is a comparison of any two units, expressed as a quantity of one unit.