Dantel is comparing websites for downloading music. One charges a $8 membership fee plus $0.70 per song. Another charges $1.50 per song, but no membership fee. How many songs would Dantel have to buy to spend the same amount at both websites?

Respuesta :

Answer:

10 songs

Step-by-step explanation:

Let y = total money spent

     x = cost of one song

Since one of the site charges $0.70 per song, we multiply x by 0.7 like this: 0.7x

There is also $8 on top of that to add up to the total cost

y = 0.7x + 8

The other site charges $1.50 per song, so we multiply x by 1.5

There is also no addtional cost

y = 1.5x

1.5x = 0.7x + 8

Subtract 0.7x from both sides

1.5x = 0.7x + 8

- 0.7x  - 0.7x

0.8x = 8

Divide both sides by 0.8

0.8x/0.8 = 8/0.8

x = 10

This means Dantel will have buy 10 songs from each site if he wants the same cost from both.