Can you help me?

Question

Write a system of equations to model this situation.Then use your system to solve.At a garage sale a CD costs three times as much as a book.You bought three books and 2 CDs. You spent $18.What is the price of a CD and the price of a book?

Answer 1

Let x denote the price of a book.

 

Then the price of a CD is given by 3x.

 

You bought three books and two CDs, so the total you spent is 3x + 2(3x) = 9x. You are given that this total equals 18. So 9x = 18, which means that x = 2. 

 

Thus the price of a book is $2 and the price of a CD is $6.