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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.

Sample Question Videos

03:47
03:15

Worksheet • 24 Questions • 2 Videos

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:

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 2 1 , 4 2 , 8 4
  • B − 1 4 7 , − 2 9 4 , 5 8 8
  • C 1 1 , 4 5 , 9 0
  • D − 2 9 . 4 , 5 8 . 8 , 1 1 7 . 6

Q3:

A movie theatre sold tickets to three movies. The tickets to the first movie were $5, the tickets to the second movie were $11, and tickets to third movie were $12. 100 tickets were sold to the first movie. The total number of tickets sold was 642, for a total revenue of $6 774. How many tickets for each movie were sold?

  • A100 for the first movie, 230 for the second movie, 312 for the third movie
  • B100 for the first movie, 312 for the second movie, 230 for the third movie
  • C100 for the first movie, 342 for the second movie, 200 for the third movie
  • D100 for the first movie, 200 for the second movie, 342 for the third movie
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