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Sam ordered some books online for $7 each. He paid a total of $6 for shipping. The total cost of the purchase was $97. How many books did he buy?

(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 7, 6, and 97. Let b represent the number of books.
(b) Solve the equation in part (a) to find the number of books.

1 answer

(a) To find the total cost of the books plus shipping, we can set up the following equation:

\[ 7b + 6 = 97 \]

Here, \( b \) represents the number of books Sam bought, \( 7 \) is the cost per book, \( 6 \) is the shipping cost, and \( 97 \) is the total cost of the purchase.

(b) Now, we will solve the equation \( 7b + 6 = 97 \).

  1. Subtract 6 from both sides of the equation:

\[ 7b = 97 - 6 \]

\[ 7b = 91 \]

  1. Now, divide both sides by 7 to solve for \( b \):

\[ b = \frac{91}{7} \]

\[ b = 13 \]

Therefore, Sam bought 13 books.