On Monday, Readalon Bookshop sold five copies of their new travel book and took delivery of two more boxes, each with t books in it. On Tuesday morning they counted the books and found that they had six full boxes plus two spare books.How many books did they start the week with?
Question
On Monday, Readalon Bookshop sold five copies of their new travel book and took delivery of two more boxes, each with t books in it. On Tuesday morning they counted the books and found that they had six full boxes plus two spare books.How many books did they start the week with?
Solution
Let's break down the problem:
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On Monday, the bookshop sold five copies of the new travel book. This means they had five less books than they started with.
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They also took delivery of two more boxes, each with t books in it. This means they added 2t books to their stock.
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On Tuesday morning, they had six full boxes plus two spare books. This means they had 6t + 2 books in total.
We can set up the equation to represent the situation:
(Initial number of books - 5 sold books + 2t new books) = 6t + 2 books on Tuesday
Let's solve for the initial number of books:
Initial number of books = (6t + 2) + 5 - 2t
Initial number of books = 4t + 7
So, the bookshop started the week with 4t + 7 books.
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