SOLUTION: Suppose you have a budget of 450 dollars for one month. You would like to buy some textbooks and CDs. The average cost of a book is 55 dollars each and that of a CD is 12 dolla

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose you have a budget of 450 dollars for one month. You would like to buy some textbooks and CDs. The average cost of a book is 55 dollars each and that of a CD is 12 dolla      Log On


   

Question 491508: Suppose you have a budget of 450 dollars for one month. You would like to buy some textbooks and CDs.
The average cost of a book is 55 dollars each and that of a CD is
12 dollars each. Let x denote the number of books you buy and y denote the
number of CDs that you buy.
This is what I have tried and I just cannot get the right answer.
Write the equation of your budget constraint in the form y=mx+b, where m and b are some numbers.
y=55x+450 and
y=4.58x+37.5
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
y = the number of CDs, so 12y = value of the CDs purchased
x = the number of books, so 55x = value of the books purchased
The total amount is 450, so you can show:
12y + 55x = 450
Subtract 55x from both sides
12y = -55x + 450
Divide both sides by 12
y = -55/12*x + 450/12
graph%28500%2C500%2C-50%2C50%2C-50%2C50%2C-55%2F12%2Ax%2B450%2F12%29