Question

In the past month, Henry rented 1 video game and 4 DVDs. The rental price for the video game was $3.40. The rental price for each DVD was $4.10. What is

the total amount that Henry spent on video game and DVD rentals in the past month?

Answer 1

Let x = the cost of a movieLet y = the cost of a gameUsing these variables,

we can set up equations.3x + 5y = 42 eq19x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables.

We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54y

= 6.75

This rental cost of one video game is $6.75

Substitute the value of y into eq1 to solve for x.

This will give you the rental cost of one movie.

Explanation: