Paul teaches the guitar in groups of three students. He rents a room for the guitar classes at $250 per month. He charges $30 per hour per student. Paul teaches six groups of students, and his net earnings per month are $1,910.

Part A: If each student learns guitar for the same number of hours, write an equation that can be used to calculate the number of hours each student learns guitar in a month. (5 points)

Part B: How many hours did each student learn guitar each month? Show your work and justify each step of your work. (5 points)

Question

Paul teaches the guitar in groups of three students. He rents a room for the guitar classes at $250 per month. He charges $30 per hour per student. Paul teaches six groups of students, and his net earnings per month are $1,910.

Part A: If each student learns guitar for the same number of hours, write an equation that can be used to calculate the number of hours each student learns guitar in a month. (5 points)

Part B: How many hours did each student learn guitar each month? Show your work and justify each step of your work. (5 points)

anonymous · Answer

Hm, this is a tricky one. First lets find his total earnings which we can find by adding 250m to the left side of the equation, where m is the months since he is charged 250 per month.
So far we have: $250m+1910=$
Now for the students part. It says he teaches 3 students at a time, where it costs 30dollars an hour per student. So that is the same as $(3*30h)$, but we are not done yet because he teaches 6 of these groups so we have to multiply that by 6. This gives us $6(3*30h)$
so the equation is $250m+1910=6(90h)$ which is the same as $250m+1910=540h$

anonymous · Answer

To solve the second part you plug in 1 for m which means for 1 month and then solve for what h=

camerondoherty · Answer

Thank You @Venny