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Lesson: Solving Real-World Problems Using Systems of Linear Equations in Three Variables

Use the information in the problem to form equations using the variables. Once you have three equations and all three variables, and all three variables are represented, you can solve the problem. In this lesson, we will learn how to solve real-world problems using a system of linear equations in three variables.

Worksheet: Solving Real-World Problems Using Systems of Linear Equations in Three Variables • 15 Questions

Q1:

An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than half the number of cats, and there are 20 more cats than dogs, how many of each are at the shelter?

A70 rabbits, 150 cats, 130 dogs
B78 rabbits, 146 cats, 126 dogs
C180 rabbits, 95 cats, 75 dogs
D120 rabbits, 125 cats, 105 dogs

Q2:

The sum of the ages of three brothers is 123 years. The first brother is 3 years older than the second brother who is 9 years older than the third. Find their current ages.

A34 years, 43 years, 46 years
B37 years, 40 years, 46 years
C34 years, 37 years, 43 years
D37 years, 46 years, 49 years
E34 years, 37 years, 46 years

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