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 set up a proportion for a word problem?

Back

Identify the two quantities being compared and set them as a fraction. Then, set the fractions equal to each other.

Front

If a recipe calls for 2 cups of flour for 12 cookies, how do you find the amount of flour for 24 cookies?

Back

Set up the proportion: 2/12 = x/24, then solve for x.

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

How do you find the total output of a machine running for a different time?

Back

Use the unit rate of output per hour and multiply it by the total hours.

Front

If 4 cups of flour make 16 muffins, how many cups are needed for 24 muffins?

Back

Set up the proportion: 4/16 = x/24, then solve for x.

Front

What is the relationship between the number of cookies and the amount of flour in a recipe?

Back

The relationship is a direct proportion; as the number of cookies increases, the amount of flour increases.

Front

How do you convert a word problem into a mathematical equation?

Back

Identify the quantities involved, determine the relationship, and express it using variables and numbers.

Front

If a car travels 240 miles in 4 hours, what is the speed of the car?

Back

Speed = Distance / Time = 240 miles / 4 hours = 60 miles per hour.

Front

How do you find the amount needed for a larger batch in a recipe?

Back

Use the ratio of the original recipe to the desired amount and scale accordingly.