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.

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

Answer 1

@agent0smith

Answer 2

@skullpatrol

Answer 3

30x+250=1910 i do not think what i have is right for part a

Answer 4

He rents the room for $250. That means he PAYS 250, he doesn't make 250.

Answer 5

o ok

Answer 6

what would be the equation

Answer 7

Paul teaches the guitar in groups of three students. Paul teaches six groups of students,

How many students must there be, from these two sentences?

Answer 8

3?

Answer 9

Read it again.

Answer 10

6 groups

Answer 11

ooh... wait

Answer 12

18

Answer 13

Yes. Now try writing the equation if x is the number of hours a student gets. You had it pretty close above.

Answer 14

ok.....

Answer 15

18(30)-250=1910?

Answer 16

18 students, 30 an hour per student, with x number of hours means 18*30*x

Answer 17

But close!

Answer 18

18*30*x?

Answer 19

540x?

Answer 20

All you have to do is modify your above equation, you almost had it.

Answer 21

540x+250=1910

Answer 22

?

Answer 23

But... I thought we went over him paying 250, not making 250

Answer 24

but dont you need to add it so then you can subtract it when solving?

Answer 25

u know inverse operations?

Answer 26

can we go to part b @agent0smith

Answer 27

It's nothing to do with inverse operations. He PROFITS 540x, he loses 250, the way you wrote it he's not paying 250 for the room, he's making 250.

Answer 28

540x-250=1910

Answer 29

it makes sense

Answer 30

Better, now solve it.

Answer 31

290x=1910

Answer 32

x=about 6

Answer 33

?

Answer 34

You can't combine unlike terms like that. You can't combine an x term like 540x, with a constant term like -250

Answer 35

how do you solve then

Answer 36

@agent0smith

Answer 37

?

Answer 38

okay the total answer i got was x=3

Answer 39

540x-250=1910
add 250 to both sides

Answer 40

okay..... you get 540x=2160

Answer 41

x=4

Answer 42

i think i am getting the hang of it...... is it right?

Answer 43

1910 is the NET cost

Answer 44

that includes 250

Answer 45

so it would be 540x+250=1910 or 540x-250=1910

Answer 46

@agent0smith

Answer 47

"and his net earnings per month are $1,910"

Answer 48

Net earnings are the money he makes overall, after paying for the room.

Answer 49

yeah so it would be 540x+250=1910

Answer 50

this is craziness!

Answer 51

He MAKES money off his students. He LOSES money to the room, meaning you must subtract it.

Answer 52

oooooooh he LOSES

Answer 53

It's not craziness. We already went over it, you had everything correct.

Answer 54

now it makes sense i am stupido!