Question

One month Lena rented 3 movies and 5 video games for a total of $36. The next month she rented 6 movies and 2 video games for a total of $30. Find therental cost for each movie and each video game.

Answer 1

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.

Step-by-step explanation:

Let the rental cost of each movie is $x and cost of each video game is $y.

Now, according to the given data:

`\begin{gathered} 3x+5y=36 \\ 6x+2y=30 \end{gathered}`

Solving both the equation using elimination method.

Multiply the first equation by 2, we get

`6x+10y=72`

Subtracting this equation from the second equation, we get

`\begin{gathered} 8y=42 \\ y=5.25 \end{gathered}`

Put the value of y in first equation in order to obtain x

`\begin{gathered} 3x+26.25=36 \\ 3x=9.75 \end{gathered}`

So,

`x=3.25`

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.