HELP NOW PLEASE, WILL GIVE MEDAL

Tara teaches ballet in groups of two students. She rents a room for the ballet classes at $350 per month. She charges $50 per hour per student. Tara teaches five groups of students, and her net earnings per month are $3,150.

Part A: If each student learns ballet for the same number of hours, write an equation that can be used to calculate the number of hours each student learns ballet in a month.

Part B: How many hours did each student learn ballet each month? Show your work and justify each step of your work.

Question

HELP NOW PLEASE, WILL GIVE MEDAL 

Tara teaches ballet in groups of two students. She rents a room for the ballet classes at $350 per month. She charges $50 per hour per student. Tara teaches five groups of students, and her net earnings per month are $3,150.

Part A: If each student learns ballet for the same number of hours, write an equation that can be used to calculate the number of hours each student learns ballet in a month. 

Part B: How many hours did each student learn ballet each month? Show your work and justify each step of your work.

anonymous · Answer

Do you know how to do this?

anonymous · Answer

a total of 10 students in 5 groups of 2 each.

Suppose each student learns ballet 'x' hours each month.

Total charges by Tara on the students are 50 * 10x = 500x

Total earnings of Tara = 500x
Net earnings = Total earnings - 350 for rent
3150 = 500x - 350

This is the equation for part A

anonymous · Answer

3150 = 500x - 350
3150+350 = 500x
3500 = 500x
x=7 hours

anonymous · Answer

thanks