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Math  /  Algebra

Question2. Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised $2,000\$ 2,000. The amount raised is divided equally among the mm members of the band. Which equation represents the amount, AA, each member receives? A. A=m2,000A=\frac{m}{2,000} B. A=2,000mA=\frac{2,000}{m} C. A=2,000 mA=2,000 \mathrm{~m} D. A=2,000−mA=2,000-m

Studdy Solution

STEP 1

1. The total amount of money raised by the band is $2,000.
2. The money is divided equally among \( m \) members of the band.
3. We need to find the equation that represents the amount \( A \) each member receives.

STEP 2

1. Understand the problem statement.
2. Set up the equation based on the problem.
3. Identify the correct equation from the given options.

STEP 3

The problem states that the total amount of $2,000 is divided equally among \( m \) members.

STEP 4

To find the amount A A each member receives, divide the total amount by the number of members. This gives the formula:
A=2,000m A = \frac{2,000}{m}

STEP 5

Compare the derived formula with the given options:
A. A=m2,000 A = \frac{m}{2,000} - Incorrect, as it inverts the division. B. A=2,000m A = \frac{2,000}{m} - Correct, matches the derived formula. C. A=2,000m A = 2,000m - Incorrect, as it implies multiplication instead of division. D. A=2,000−m A = 2,000 - m - Incorrect, as it implies subtraction instead of division.
The correct equation is:
A=2,000m \boxed{A = \frac{2,000}{m}}

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