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?

The total amount raised is $2,000, and it is divided equally among $ M $ members of the band. To find the amount $ A $ each member receives, we need to divide the total amount by the number of members.

The equation that represents the amount $ A $ each member receives is:

\[
A = \frac{2000}{M}
\]

This equation shows that $ A $, the amount each member receives, is the total amount of money raised divided by the number of band members $ M $.

Would you like more details or have any further questions?

Here are 5 related questions for further exploration:
1. If there are 40 members in the band, how much does each member receive?
2. How would the equation change if the total amount raised was $2,500 instead?
3. What would happen to the amount each member receives if the number of members doubles?
4. If each member receives $50, how many members are in the band?
5. How could the band raise more money if the number of members remains the same?

**Tip:** In problems involving division of a total amount, always ensure the total is divided by the correct number of parts (or people) to find the per-person share.

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?

Learn how to solve a real-world algebra problem where the total amount raised by a band is divided equally among its members. This example covers the basic algebraic concept of division and how to represent it using a linear equation. Suitable for students in Grades 6-8.

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