Proportion 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 a scale in the context of maps?

Back

A scale is a ratio that compares a distance on the map to the actual distance it represents.

Front

If a map scale is 1 inch to 10 miles, how do you find the actual distance for 3.5 inches?

Back

Multiply 3.5 inches by 10 miles/inch to get 35 miles.

Front

What is the relationship between quantities in proportion word problems?

Back

The relationship is represented by the ratio between the quantities.

Front

If a recipe requires 2 cups of flour for 24 cookies, how do you find the flour needed for 36 cookies?

Back

Set up a proportion: 2 cups/24 cookies = x cups/36 cookies, then solve for x.

Front

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

Back

Distance = Speed × Time.

Front

If a car travels 300 miles in 5 hours, what is its speed?

Back

Speed = Distance/Time = 300 miles/5 hours = 60 miles per hour.

Front

How do you find the distance a car can travel in a different time using its speed?

Back

Multiply the speed by the new time to find the distance.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined into a single unit.