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

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

re 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

For part B, just solve the equation.

meilendurcer · Answer

@navk sorry i didn't see it. thanks.

what equation?

anonymous · Answer

@meilendurcer thanks for the medal! The equation is the final equation 3150 = 500x - 350. On solving this equation, you can get 'x', which is the total number of hours each student studied for a month (answer to part B)

meilendurcer · Answer

@navk no problem you've been a big help! 

My problem is finding x i did some back subtracting but it hasn't worked.

anonymous · Answer

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

meilendurcer · Answer

7 hours!!

anonymous · Answer

right!