Problem

6. David bought 3 DVDs for 4 books for $\$ 40$ at a yard sale. Anna bought 1 DVD and 6 books for $\$ 18$. How much did each DVD and book cost?

Answer

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Answer

The cost of each DVD is \(\boxed{12}\) dollars and the cost of each book is \(\boxed{1}\) dollar.

Steps

Step 1 ：Let's denote the cost of a DVD as D and the cost of a book as B.

Step 2 ：From the problem, we can derive two equations: \(3D + 4B = 40\) and \(D + 6B = 18\).

Step 3 ：We can solve this system of equations to find the values of D and B.

Step 4 ：The solution to the system of equations is {B: 1, D: 12}.

Step 5 ：The cost of each DVD is \(\boxed{12}\) dollars and the cost of each book is \(\boxed{1}\) dollar.

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