Given: Cost of 3 movies and 5 video games is $36. Cost of 6 movies and 2 video games is $30.
Required: Cost of each movie and each video game.
Explanation:
Let the rental cost of each movie is $x and cost of each video game is $y.
Now, according to the given data:
[tex]\begin{gathered} 3x+5y=36 \\ 6x+2y=30 \end{gathered}[/tex]Solving both the equation using elimination method.
Multiply the first equation by 2, we get
[tex]6x+10y=72[/tex]Subtracting this equation from the second equation, we get
[tex]\begin{gathered} 8y=42 \\ y=5.25 \end{gathered}[/tex]Put the value of y in first equation in order to obtain x
[tex]\begin{gathered} 3x+26.25=36 \\ 3x=9.75 \end{gathered}[/tex]So,
[tex]x=3.25[/tex]Hence, rental cost of each movie is $3.25 and rental cost of each video game is $ 5.25.
Final Answer: rental cost of each movie is $3.25 and rental cost of each video game is $ 5.25.
