SOLUTION: Please help me solve this problem: One music company charges a $15 membership fee and $0.75 each to download a song. Another company charges $.90 per song to download a song (no m

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help me solve this problem: One music company charges a $15 membership fee and $0.75 each to download a song. Another company charges $.90 per song to download a song (no m      Log On


   

Question 729763: Please help me solve this problem:
One music company charges a $15 membership fee and $0.75 each to download a song. Another company charges $.90 per song to download a song (no membership fee).
For what number of songs will both companies charge the same amount? How much will it cost when each company charges the same amount? Justify your answer using mathematics.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
One music company charges a $15 membership fee and $0.75 each to download a song. Another company charges $.90 per song to download a song (no membership fee).
.
Let x = number of songs downloaded
then
1st company:
.75x + 15
2nd company:
.90x
.
For what number of songs will both companies charge the same amount?
set the two equations equal to each other and solve for x:
.75x + 15 = .90x
15 = .15x
15/.15 = x
100 songs = x
.
How much will it cost when each company charges the same amount?
plug above into:
.90x
.90(100)
$90