## School Dance

**Work Time**

# School Dance

Mr. Washington’s class is holding a school dance to raise money.

- Let
*a*represent the price, in dollars, of each ticket. - Let
*b*represent the number of tickets sold. - Let
*c*represent the cost, in dollars, of renting music equipment. - Let
*d*represent the profit, in dollars, the class made.

- If
*a*= 4,*b*= 50, and*c*= 60, write an equation to determine the profit,*d*.- Solve the equation to determine how much profit the class made.
- Write an algebraic equation to express
*d*in terms of the variables*a*,*b*, and*c*.

- If each ticket costs $4.50 and the cost of renting the music equipment is $100, what is the minimum number of tickets that must be sold for the class to make a profit of at least $700? Explain how to use an algebraic inequality to solve this problem.