Question

An online music club offers individual songs for one price or entire albums

for another Kendrick pays $14.90 to download 5 individual songs and
1 album Geoffrey pays
s $21.75 to download 3 individual songs a
s and 2 albums.
S
a. How much does the music club charge to download a song?
b. How much does the music club charge to download an entire album?

Answer 1

To solve for the price of a single song, we can set up the following equation:

Kendrick paid $14.90 for 5 songs + 1 album = $x for a single song

We can solve for x by dividing both sides of the equation by 5:

$14.90 / 5 = $x / 5

This simplifies to:

$x = $2.98

So the music club charges $2.98 to download a single song.

To solve for the price of an entire album, we can set up the following equation:

Geoffrey paid $21.75 for 3 songs + 2 albums = $y for an entire album

We can solve for y by subtracting the cost of the songs from both sides of the equation:

$21.75 - $2.98 * 3 = $y - $2.98 * 3

This simplifies to:

$12.79 = $y

So the music club charges $12.79 to download an entire album.

Explanation:

Answer 2

$1.15 and $9.15

Explanation:

let s represent the cost of a song and a represent the cost of an album , then

5s + a = 14.9 → (1)

3s + 2a = 21.75 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate a

- 10s - 2a = - 29.8 → (3)

add (2) and (3) term by term to eliminate a

- 7s + 0 = - 8.05

- 7s = - 8.05 ( divide both sides by - 7 )

s = 1.15

substitute s = 1.15 into either of the 2 equations and solve for a

substituting into (1)

5(1.15) + a = 14.9

5.75 + a = 14.9 ( subtract 5.75 from both sides )

a = 9.15

(a) the charge for downloading a song is $1.15

(b) the charge for downloading an album is $9.15