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

In this lesson, we will learn how to solve real-world problems using a system of linear equations in three variables.

Question Video: Writing and Solving a System of Linear Equations in Three Unknowns in a Real-World Context

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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

Q3:

Three numbers sum up to 147. The smallest number is half the middle number, which is half the largest number. What are the three numbers?

  • A
  • B
  • C
  • D
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