AMC 8 Daily Practice Round 11

Complete problem set with solutions and individual problem pages

Problem 4 Easy

Dan bought 4 books for the classroom library. The most expensive book costs \$26, and the least expensive book costs \$22. Based on this, which of the following cannot be the total cost of the 4 books?

  • A.

    \$ 88

  • B.

    \$ 92

  • C.

    \$ 94

  • D.

    \$ 98

  • E.

    \$ 100

Answer:A

The minimum total cost is calculated by taking 3 of the least expensive items and 1 of the most expensive item:

22 \times 3 + 26 = \$ 92 .

The maximum total cost is calculated by taking 3 of the most expensive items and 1 of the least expensive item 26 \times 3 + 22 = \$ 100.

Thus, the total cost must be between \$ 92 and \$ 100. Since the option \$ 88 is outside this range, it cannot be the total cost.

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