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Salma bought some books for $4 each and received a discount of $5 off of her total purchase. She spent $71 after the discount. How many books did she 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 4, 5, and 71. Let b represent the number of books.=+b=−b(b) Solve the equation in part (a) to find the number of books.=b

Question

Salma bought some books for 4eachandreceivedadiscountof4 each and received a discount of 5 off of her total purchase. She spent $71 after the discount. How many books did she 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 4, 5, and 71. Let b represent the number of books.=+b=−b(b) Solve the equation in part (a) to find the number of books.=b

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Solution

(a) The appropriate form of the equation would be: Total cost before discount (number of books * cost per book) - discount = total cost after discount. So, the equation would be: 4b - 5 = 71.

(b) To solve the equation, first add 5 to both sides to isolate the term with b on one side: 4b = 71 + 5, which simplifies to 4b = 76. Then, divide both sides by 4 to solve for b: b = 76 / 4, which simplifies to b = 19.

So, Salma bought 19 books.

This problem has been solved

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