SOLUTION: You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write a linear inequality that represents this situation. Let x represent the number of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write a linear inequality that represents this situation. Let x represent the number of      Log On


   

Question 624489: You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

The Problem:
You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write 
a linear inequality that represents this situation. Let x represent the number of tapes and y the 
number of CDs.

Solution:
Let x be the number of cassette tapes you purchase.
Let y be the number of CDs you purchase.

In this situation, you only have $32 to spend, so you want to make sure that the total you spend is 
less than or equal to $32. 

Different combinations of tapes and CDs are possible. We want an equation showing this relationship.

One cassette tape costs $5. The cost for any number of cassette tapes is $5 times the number 
purchased; that's 5 times x, or 5x.

To find the cost of CDs purchased, we multiply $9 times the number of CDs, $9 times y or 9y.

The cost of the total purchase is 
[the cost of the cassettes] + [the cost of the CDs] or
5x + 9y

We want this total cost to be less than or equal to $32, so we write
5x%2B9y%3C=32

That's it. Please email your questions or comments about the solution. I want to be sure you 
understand, and I'd appreciate the feedback.

Ms.Figgy
math.in.the.vortex@gmail.com