- The Blast Off Music Company makes CDs and DVDs. The company can make a total of 500 CDs and DVDS
each day. It costs $8 to make each CD and $10 to make each DVD. The company can spend $4800 for
production costs each day. How many individual CDs and DVDs can The Blast Off Music Company make in
one day?

Let C represent number of CDs and D represent number of DVDs.

We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:

We are also told that it costs $8 to make each CD, so cost of C, CDs would be .

It costs $10 to make each DVD, so cost of D, DVDs would be .

We have been given that the company can spend $4800 for  production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:

Therefore, the company can make 400 DVDs in one day.

Upon substituting in equation (1), we will get:

Therefore, the company can make 100 CDs in one day.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b