AMC 8 Daily Practice Round 6

Complete problem set with solutions and individual problem pages

Problem 18 Easy

A 5-shelf bookcase holds 450 books. Each upper shelf has 10 fewer books than the one below. How many books on the top shelf?

  • A.

    10

  • B.

    70

  • C.

    90

  • D.

    200

  • E.

    450

Answer:B

Let shelves be 1 (top) to 5.

The middle shelf (3rd) has: 450\div5 = 90 books.

Top shelf: 90 - 10 - 10 = 70.

 Final result: \boxed{70} books