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Algebra / Linear equations in one variable Difficulty: Easy

A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?

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Explanation

Choice B is correct. Subtracting the number of books left over from the total number of books results in $43 minus 7, equals 36$ , which is the number of books distributed. Dividing the number of books distributed by the number of books given to each child results in $the fraction 36 over 2, equals 18$ .

Choice A is incorrect and results from dividing the total number of books by the number of books given to each child, $the fraction 43 over 2, is approximately equal to 22$ , then subtracting the number of books left over from the result, $22 minus 7, equals 15$ . Choice C is incorrect and results from adding the number of books left over to the total number of books, $43 plus 7, equals 50$ , then dividing the result by the number of books given to each child, $the fraction 50 over 2, equals 25$ . Choice D is incorrect and results from dividing the total number of books by the number of books given to each child, $the fraction 43 over 2, is approximately equal to 22$ , then adding the number of books left over, $22 plus 7, equals 29$ .