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Ratio Word Problems




 
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Videos, worksheets, solutions, and activities to help Algebra and Grade 9 students learn how to solve ratio word problems using algebra and proportions.

How to Solve Ratio Word Problems using algebra?
This video shows the trick of multiplying each term in the ratio by x to help set up an equation. This problem contains a ratio with 3 parts.
Example: At Patwyn's Pet Store, the ratio of dogs to cats to elephants is 3:5:7. If there are 135 of these animals in total, how many elephants are at Patwyn's store?
Ratio Word Problems
Students learn that the ratio of one number to another is the result of the first number divided by the second number.
Example: A piece of string that is 63 inches long is cut into 3 parts such that the lengths of the parts of the string are in the ratio 5 to 6 to 10. Find the lengths of the 3 parts.



How to solve ratio word problems using proportions and algebra?
This video focuses on solving a ratio word problem with two methods. In the first method, the concept of proportions is used to solve the ratio word problem. In the second method, you will see how to combine ratios and algebra to solve a ratio word problem.
Example: At Euclid High School, the ratio of male students to females students is 5:7. If there are 300 students in total, how many male students are there at Euclid High School?
Ratio Problem (with triangle perimeter) - Geometry
This video focuses on a ratio problem involving the perimeter of a triangle. It uses the method of solving algebraic equations.
Example: The measure of the sides of a triangle are in the ratio of 4:5:6. Find the measure of each side if the perimeter of the triangles is 105 inches.


 

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You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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