SOLUTION: You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs combined

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs combined      Log On


   



Question 1112079: You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs combined. How many hot dogs were sold and how many sodas were sold? Write a linear system of equations that can be used to solve this problem.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the number of hot dogs and y be the number of sodas.


Then the system of two equations that the problem requests to write is


     x +      y = 87        (the number of items sold)
1.50*x + 0.50*y = 78.50     (the revenue in dollars)


Since the problem does not ask to solve it, I will stop here.


To see many examples of solved problems using systems of two equations,  look into the lessons
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    - One unusual problem to solve using system of two equations
    - Solving mentally word problems on two equations in two unknowns
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    - System of equations helps to solve a problem for the Thanksgiving day
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in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.