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Linear equations in one variable SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

ExplanationShow

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.

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