Problema Solution

At a garage sale, a CD costs three times as much as a book. You spend $28 to buy two books and four CDs. Choose a system of equations to find the price of a CD and the price of a book. Then solve.

Answer provided by our tutors

Let


b = the price of a book, p>=0


c = the price of a CD, c>=0


A CD costs three times as much as a book:


c = 3b


You spend $28 to buy two books and four CDs:


2b + 4c = 28


We have the following system of equations:


c = 3b


2b + 4c = 28

........


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........

b = $2


c = $6


The price of a CD is $6.


The price of a book is $2.