Solve real world problems with a system of linear equations

by jhduHU
(COACIPC)

A burger place sells burgers (b) for $4, and fries (f) for $2. If bob bought six items for a total of $18, how many did he buy of each?


Solution

A system of linear equations can be used to solve this problem.

Let b be the number of burgers bob bought

Let f be the number of orders he placed for French fries

Then, we can come up with the following two equations

4b + 2f = 18 (equation 1)

b + f = 6 (equation 2)

Solve for b in equation 2. We can do this by subtracting f from both sides of the equation

b + f - f = 6 - f

b = 6 - f

Replace b with 6 - f in equation 1

4 (6 - f) + 2f = 18

4x6 - 4xf + 2f = 18

24 - 4f + 2f = 18

24 - 2f = 18

24 - 18 = 2f

6 = 2f

f = 3

Since b = 6 - f, b = 6 - 3 = 3

Therefore, Bob ordered 3 items each



Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to System of linear equations.

Recent Articles

  1. How To Find The Factors Of 20: A Simple Way

    Sep 17, 23 09:46 AM

    Positive factors of 20
    There are many ways to find the factors of 20. A simple way is to...

    Read More

  2. The SAT Math Test: How To Be Prepared To Face It And Survive

    Jun 09, 23 12:04 PM

    SAT math
    The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended

Math vocabulary quizzes