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2004 AMC 10A Problem 1

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2004 AMC 10A Problem 1AMC 10 Step by Step
Name:                             Date: September 13, 2026
Linear Equations & Word Problems · difficulty 1 of 5 · about 1 min · position P1-10

You and five friends need to raise 15001500 dollars in donations for a charity, dividing the fundraising equally. How many dollars will each of you need to raise?

  1. A)

    250250

  2. B)

    300300

  3. C)

    15001500

  4. D)

    75007500

  5. E)

    90009000

Answer

A

Key insight

You plus five friends is six people, so each share is 1500 divided by 6.

Solution

The group consists of you together with five friends, so six people share the work. Splitting 15001500 dollars into six equal parts gives
15006=250.\frac{1500}{6} = 250.

The answer is (A) 250\boxed{\textbf{(A)}\ 250}.

Why this works

The only content is reading carefully: "you and five friends" is six people, not five. Equal division of a total is then a single quotient. First-problem traps are almost always about the setup, not the arithmetic.

The trap

Counting only the five friends and dividing by 5, which gives 300, choice (B).

Common mistakes

  • Counting only the five friends and dividing by 5, which gives 300, choice (B).
  • Multiplying instead of dividing, which produces the absurd choices (D) or (E).

Techniques

Set up the equation/formula and compute; no special trick needed