Questions: 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. The amount raised is divided equally among the m members of the band. Which equation represents the amount, A, each member receives? A = m / 2000 A = 2000 / m A = 2000 m A = 2000 - m

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. The amount raised is divided equally among the m members of the band.

Which equation represents the amount, A, each member receives?

A = m / 2000

A = 2000 / m

A = 2000 m

A = 2000 - m
Transcript text: 2. Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised $\$ 2,000$. The amount raised is divided equally among the $m$ members of the band. Which equation represents the amount, $A$, each member recelves? \[ A=\frac{m}{2000} \] \[ A=\frac{2000}{m} \] \[ A=2000 m \] \[ A=2000-m \] Clear All Unanswered Previous 1 2 3 4 5 6 7 8 9 10 Next ) Review \& Sub
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Solution

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Solution Steps

To find the amount \( A \) each member receives, we need to divide the total amount raised, which is $2000, by the number of members \( m \). This is because the total amount is shared equally among all members.

Step 1: Define the Problem

We need to determine the amount \( A \) that each member of the band receives from the total amount raised, which is \( 2000 \) dollars. The amount is divided equally among \( m \) members.

Step 2: Set Up the Equation

The equation to find the amount per member is given by: \[ A = \frac{2000}{m} \]

Step 3: Calculate the Amount for Given Members

For example, if there are \( m = 10 \) members, we can substitute this value into the equation: \[ A = \frac{2000}{10} = 200.0 \]

Final Answer

Thus, the amount each member receives when there are 10 members is \\(\boxed{A = 200.0}\\).

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