Solving Word Problems using Proportions 1
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Lesson Summary:
In this lesson, you will learn how to solve word problems using proportions. The instructor shows examples of setting up proportions to keep ingredients in recipes in proportion to maintain the taste, and how to set up ratios to determine how much of an ingredient is needed in a recipe when the number of servings changes. By using cross-products and solving equations, you can easily find the amount of an ingredient needed for a recipe.
Lesson Description:
Shows how to solve word problems by writing a proportion and solving.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you solve word problems using proportions?
- If a recipe uses 5 cups of flour for every 2 cups of sugar, and you want to make a recipe using 8 cups of flour, how much sugar should be used?
- How do you solve the proportion 5/2 = 8/x?
- How can you check the solution to a word problem to see if it is reasonable?
- If a syrup is made by dissolving 2 cups of sugar in 2/3 cups of boiling water, how many cups of sugar should be used for 2 cups of boiling water?
- How do you solve the complex proportion 2/(2/3) = x/2?
- If a school buys 8 gallons of juice for 100 kids, how many gallons do they need for 175 kids?
- How do you solve the proportion 8/100 = x/175?
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Staff Review
This lesson goes through some word problems that can be solved easily by writing and solving proportions. All setup is explained as well as the steps for solving the proportion. This type of word problem comes up often in Algebra and learning this method of solving is very important.
