Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. Veronica teaches seven groups of students, and her net earnings per month are $6,100.

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

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

Question

Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. Veronica teaches seven groups of students, and her net earnings per month are $6,100.

Part A: If each student learns French for the same number of hours, write an equation that can be used to calculate the number of hours each student learns French in a month. (5 points)

Part B: How many hours did each student learn French each month? Show your work and justify each step of your work. (5 points)

anonymous · Answer

I think the equation should look something like this for Part A:

$$7\times4\times45x -200=6,100$$

anonymous · Answer

7 students
4 groups
$45 each
$200 rent
$6,100 monthly

holly00d1248 · Answer

what grade math is this

anonymous · Answer

9th

anonymous · Answer

But is going over 8th grade stuff because it was taught in the beginning of the year

holly00d1248 · Answer

im only in 8th its right but i dont know i f you should trust me or not thatsn your desicion

anonymous · Answer

No, I do. I just want to see if the equation is right. & if you can I kinda need help on part b

anonymous · Answer

You think it's right?

holly00d1248 · Answer

i know its right i didnt know if you were going to believe the 8th grader

anonymous · Answer

Lol, I believe you completely!!! Thank you :)

holly00d1248 · Answer

no problem

anonymous · Answer

I don't know if you can do part B? Although I am not in public school either so I am not sure what you would be learning right now..

holly00d1248 · Answer

IM online schooled so i can certainly try

anonymous · Answer

Okay, :)

holly00d1248 · Answer

If im telling you wrong though please feel free to take the medal back

holly00d1248 · Answer

are you typing or is it just saying your typing

anonymous · Answer

I have gotten this far:

There are 4 groups of 7 students
$$7\times4=28$$

There are 28 students now. 
Her earnings (after tax expenses) are 6,100 a month. 

But she charges $45 a month per student (another equation):
$$28\times45=1260$$
Now to solve the equation in order to find x amount of hours I have to treat this entire problem as if it is a 1 variable equation. 

$$200-1260x=6100$$

This gives me x= about 5 hours per student.

holly00d1248 · Answer

Good job thats spot on

anonymous · Answer

Oh, yea I figured out a different equation that looked way more correct than what I had :)

holly00d1248 · Answer

and i said it was rigt and it wasnt so i was wrong

anonymous · Answer

Oh, lol yea no worries!!!

holly00d1248 · Answer

were you taking a test on what i told you