A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.50 to download eight songs and three games, and Dwayne paid $22.50 to download four songs and five games. How much does the store charge to download each song and game?

Question

diana.xl · Answer

a. Write a system of linear equations based on the description. Use x to represent the
cost of each song and y to represent the cost of each game.

b. Solve the system using the elimination method. Show all the steps leading to your
answer.

diana.xl · Answer

@imqwerty

diana.xl · Answer

@ganeshie8

marigirl · Answer

Let's denote
Songs: s
Games: g

Jenna buys 8 songs and 3 games 
8s+3g=20.50
Dwayne
4s+5g=22.50

With me so far

marigirl · Answer

Opps didn't read ur comment 
8x+3y=20.50
4x+5y=22.50

marigirl · Answer

8x+3y=20.45
4x+5y=22.50 ( multiply by two)

This will allow us to eliminate a variable so we can find the value of other variable 

8x+3y=20.50
8x+10y=45  -
_____________
       -7y =--24.50
            y=3.5

So a game costs $3.50

marigirl · Answer

To find the value of a song, use any if the two equations.  

8x+3y=20.50
We know now y=3.50
3 games will cost 10.50

8x+10.5=20.5
8x=10
X=1.25

A song costs $1.25