Alex and Brenden are singing artists known as LL Cool JHS. They decide to make a CD featuring their latest single Too Cool for School. Their initial cost for the recording studio is $4000 dollars plus $2.99 for each CD burned. They plan to sell each of their CD’s for $12.99. How many CD’s must Alex and Brenden (LL Cool JHS) sell if they are going to break even?

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absor201 absor201 · Answer 1 · 2020-02-14T05:09:06+01:00

Alex and Brenden must sell 400 CDs to break even.

Step-by-step explanation:

Given,

Initial cost of recording studio = $4000

Cost for per CD burned = $2.99

Let,

x be the number of CDs.

Costs = 2.99x+4000

Selling price of each CD = $12.99

Revenue = 12.99x

For breaking even;

Costs = Revenue

[tex]2.99x+4000=12.99x\\4000=12.99x-2.99x\\4000=10x\\10x=4000[/tex]

Dividing both sides by 10

[tex]\frac{10x}{10}=\frac{4000}{10}\\x=400[/tex]

Alex and Brenden must sell 400 CDs to break even.

Keywords: division, subtraction

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