An online store sells old video games and DVDS as a bundle. A bundle of two video games and three DVDS can be purchased for $89.00. A bundle of one video game and two DVDS can be purchsed for $49.50. find the cost of one video game and the cost of one DVD in the bundle.

video game: $29.50

DVD: $10

Step-by-step explanation:

Let d = price of one DVD, and let v = price of 1 video game.

"A bundle of two video games and three DVDS can be purchased for $89.00."

2v + 3d = 89

"A bundle of one video game and two DVDS can be purchased for $49.50."

v + 2d = 49.5

We have two equations in two unknowns, so we can solve them as a system of 2 equations.

2v + 3d = 89

v + 2d = 49.5

Rewrite the first equation.

Multiply both sides of the second equation by -2 and write it below the first equation.

Add the equations.

       2v + 3d = 89

(+)   -2v - 4d = -99

               -d = -10

d = 10

Now we substitute 10 for d in the second original equation and solve for v.

v + 2d = 49.5

v + 2(10) = 49.5

v + 20 = 49.5

v = 29.5

video game: $29.50; DVD: $10

is there a question here?

step-by-step explanation: