The freshman class raised funds for a school dance. It costs $5,000 to rent out the hall plus $20 per student for food and drinks. The freshman class raised $20,000. Write and solve an equation to determine how many students can attend the school dance.

Question

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Answer 1

Let's represent the number of students attending the school dance as x.

The cost for food and drinks for each student is $20, so the total cost for food and drinks for all the students is 20x.

The total cost of renting out the hall and food and drinks for all the students is $5,000 + 20x.

The freshman class raised $20,000, so we can write the equation:

20,000 = 5,000 + 20x

To solve for x, we subtract 5,000 from both sides:

20,000 - 5,000 = 5,000 + 20x - 5,000

15,000 = 20x

Next, we divide both sides by 20 to solve for x:

15,000 ÷ 20 = 20x ÷ 20

750 = x

Therefore, the maximum number of students that can attend the school dance is 750.