Question

- 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?

Answer 1

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:

`C+D=500...(1)`

`C=500-D...(1)`

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

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

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:

`8C+10D=4800...(2)`

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

`8(500-D)+10D=4800`

`4000-8D+10D=4800`

`4000+2D=4800`

`4000-4000+2D=4800-4000`

`2D=800`

`(2D)/(2)=(800)/(2)`

`D=400`

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

Upon substituting
`D=400` in equation (1), we will get:

`C=500-D \Rightarrow 500-400=100`

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