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Question
darryl had 5 boxes of books with b books in each box. he decided to give away 1 book from each box. after giving away 1 book from each box, he had 30 total books left. what is the value of b? 30 diagram with five rectangles labeled b - 1 each, total 30 b = \boxed{}
Step1: Set up the equation
There are 5 boxes, each with \( b - 1 \) books left, and the total is 30. So the equation is \( 5(b - 1)=30 \).
Step2: Solve for \( b \)
First, divide both sides by 5: \( b - 1=\frac{30}{5}=6 \). Then add 1 to both sides: \( b = 6 + 1 = 7 \).
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