131k views
1 vote
One month Brian rented 7 movies and 9 video games for a total of $78. The next month he rented 5 movies and 3 video games for a total of $36. Find therental cost for each movie and each video game.Rental cost for each movie.Rental cost for each video game:

User Erfun
by
8.4k points

1 Answer

2 votes

The given question would form a simultaneous equation.

Let the cost of a movie be "x" and the cost of a video game by "y."

Therefore, when Brian rented 7 movies and 9 video games for a total of $78, this would form this equation.


7x+9y=78-------\mleft\lbrace1\mright\rbrace

When Brian rented 5 movies and 3 video games for a total of $36, this would give


5x+3y=36--------\mleft\lbrace2\mright\rbrace

To solve the simultaneous equation we need to create equation three and use the elimination method to eliminate one variable.

We would multiply equation two by 3 to get equation three


\begin{gathered} 3(5x+3y=36) \\ 15x+9y=108-----\mleft\lbrace3\mright\rbrace \end{gathered}

The next step would be to subtract equation two from equation three


\begin{gathered} 15x-7y+9y-9y=108-78 \\ 8y=30 \\ y=(30)/(8) \\ y=3.75 \end{gathered}

We would then substitute the value of "y" into equation two to get "x."


undefined

User Sanjay Manohar
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories