Question

PLEASE HELP!!!!

Donna teaches dance in groups of five students. She rents a hall for the dance classes at $450 per month. She charges $40 per hour per student. Donna teaches four groups of students, and her net earnings per month are $4,350.

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

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

Answer 1

do you know what "net earnings" mean?

Answer 2

no

Answer 3

@jdoe0001 ?

Answer 4

hmmm ok... so...
net earnings... is what you KEEP after all deductions

Answer 5

ok, so how does that help me?

Answer 6

so if you make lemonade, and spend $20 in the lemon and the bucket
that's $20 that you spend

then if at the end of the day, you made $50
then your net is $50 total or "gross earning" minus $20 "expenses"

50 - 20 = 30 <-- net earnings

Answer 7

ok

Answer 8

well we want to know Donna's expenses, we know her net earnings is 4,350

Answer 9

right

Answer 10

so her expenses would be 4350, plus the rent of $450?

Answer 11

well... her expenses are $450 for the hall rent
her net earnings are 4,350

Answer 12

so she has 4 groups of students
each group is 5 students

so 4 * 5 = 20 students total

each hour of class is $40 per student

now we dunno how many hours they learn dance for
so let's say they learn dance "x" hours

Answer 13

ok

Answer 14

so 20 students
$40 per hour, so for "x" hours that'll be 40x

her expenses are 4,350

so one can say

(students) * ( 40 * hours) - (hall rent ) = 4,350

Answer 15

or \(\bf 20\cdot 40x-450=4,350\implies 800x-450=4,350\)

Answer 16

the 450 is subtracted because she's not earning 450, she's spending 450 to rent the dance hall

Answer 17

and to get part B
"How many hours" just solve for "x"

Answer 18

THANKS YOU SO MUCH!!!!!
i had 2 eat my lunch, so I was away from my computer
;)

Answer 19

yw