Solving Word Problems with Multiple Steps

Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

To solve word problems, even the more complicated ones, follow these three steps: visualize the problem, write the equations, and solve the equations. Learn how to solve multi-step word problems by applying the three-step process, and understand the example. Updated: 10/05/2021

Solving Word Problem Steps

This might sound repetitive, but don't be afraid of word problems. You've probably heard that before, and it's true. Don't shy away from these problems. Face your fear! Once you tackle word problems using the steps to solve a word problem, you will be that much stronger!

These are three steps to successfully solve any word problem. The first is to visualize the problem. Fully understand the problem so you know what you need to solve and what is going on in the problem. The second is to write equations from the problem that will help you answer the question from the problem. The third is to solve your equations.

This is easy to do for word problems that only require you to do one step, like simply adding two things. But what if the word problem is a bit more complicated? What if you needed to do more than one operation to solve? What if you needed to multiply and then subtract to find your answer? How would you apply the steps to solving a word problem in this situation?

Let's find out. We will use these steps to help us solve a somewhat complicated word problem.

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  • 0:01 Solving Word Problem Steps
  • 1:08 Multiple-Step Problem
  • 3:55 Finishing the Problem
  • 4:45 Lesson Summary
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A Multiple-Step Word Problem

Sue is a baker. She bakes all kinds of goodies, like apple pies and cheese pies. Yum! On Mondays, Wednesday and Fridays, Sue bakes apple pies. She bakes cheese pies on Tuesdays and Thursdays. If Sue bakes 50 pies a day, how many more apple pies does Sue bake than cheese pies in a week?

Our first step in solving this word problem is to visualize our problem. What's going on? The best way to do this is just to picture a little cartoon show in your head of what is going on. We see a little Sue the baker baking pies. Three days a week, she is baking apple pies. The other two days of her workweek, she bakes cheese pies. So, she spends more time baking apple pies than cheese pies.

That means she makes more apple pies than cheese pies. She bakes 50 pies each day she works. Now what is the problem asking us? It's asking us how many more apple pies does Sue bake than cheese pies. Okay. We can answer that. We have all the information we need to solve that.

Now that we fully understand the problem, we can go through and underline, highlight and make note of all the important pieces of information that we need. We highlight the part that says Sue bakes 50 pies a day. Next, we make a note that she bakes apple pies for three days and cheese pies for two days. In order to find our answer, we know we first need to find the number of apple pies she makes in a week and the number of cheese pies she makes in a week. We then need to subtract the number of cheese pies from the number of apple pies.

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