Question

Aria is allowed to spend no more than $17.00 per month on apps and music. She subscribes to an online magazine at a cost of $5.00 per month. She also wants to download music at a cost of $2.00 per song.

Solve an inequality to show how many songs Aria can download.

Answer 1

Let x represent the number of songs Aria can download. Each song costs $2.00. So, the cost of downloading x songs is 2x dollars.

Aria is allowed to spend no more than $17.00 per month on apps and music. She also subscribes to an online magazine for $5.00 per month. Therefore, the total amount she can spend on downloading songs and the magazine is $17.00 - $5.00 = $12.00.

Now, we can set up an inequality to represent this situation:

2x ≤ 12

This inequality states that the cost of downloading x songs (2x) must be less than or equal to $12.00, which is the remaining amount she can spend after subscribing to the magazine.

Now, solve for x:

2x ≤ 12

To isolate x, divide both sides by 2:

x ≤ 12 / 2

x ≤ 6

So, Aria can download up to 6 songs within her budget of $17.00 per month.