Ratio and Proportions – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Ratios are used to compare quantities, and two equal ratios make a proportion.

You can represent ratios in three different ways – separating the quantities with the word to, separating the quantities with a colon, and writing the two quantities as a fraction. Like a fraction, you can reduce a ratio to its lowest terms by dividing both quantities by their greatest common factor.

If there are 9 apples for every 12 apples in a fruit basket, the ratio is 9 to 12, or reduced to lowest terms, 3 to 4. You can change the order and still model the same information, 12 to 9 which is reduced to 4 to 3. When using ratios and proportions to solve problems, just make sure to be consistent in the ordering of the quantities.

What kinds of problems real world problems can you use ratios and proportions to solve? Party planning, food supply, manufacturing – the list is pretty much endless. When quantities have a proportional relationship, using equal ratios to create a proportion and then using algebra equations to solve for any unknown quantities is a great strategy to solve problems. For every video you watch you will have a ton of fun. What’s the ratio? 1 video : tons of fun.

Analyze proportional relationships and use them to solve real-world and mathematical problems.

CCSS.MATH.CONTENT.7.RP.A.1

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Exercises in this Practice Problem
Explain the ratio of the ingredients for Dr. Evil's smoothie.
Determine how many women are interested in Dr. Evil.
Determine the right ratio.
Determine the corresponding ratios.
Describe the difference between ratio and proportion.
Calculate the number of ingredients for 30 stinging nettle plants.