Paula is a student council member responsible for planning an outdoor student dinner dance plans include hiring a band and buying and serving dinner she wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.

Band a charge is $800 to play for the evening and Bambi charters for $50 plus $1.25 per student

a. Write a system of equations to represent the cost of the two bands. Use why for total cost and use ask for a number of students

b. Graph the system of equations and find the number of students for which the cost for both bands would be equal. Make sure you include your answer, for what number of students with the cost of the bands be equal