Question

Pleassee help. Medal & fan !! HELLP
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. (5 points)
Part B: How many hours did each student learn dance each month? Show your work and justify each step. (5 points)

Answer 1

Do you know how to start this problem?

Answer 2

Im not sure, I tried, I tried to make an equation but I don't know how

Answer 3

@1DEA

Answer 4

oh sorry thanks for mentioning me!

Answer 5

np (:

Answer 6

so let's break down this problem!
"teaches dance in groups of five students" - every group has 5 people
"She rents a hall for the dance classes at $450 per month." - she pays 450 every month
" She charges $40 per hour per student" - so for every student every hour she gains 40
"Donna teaches four groups of students" - there are four groups, each containing 5 people
"her net earnings per month are $4,350." - after all that she earns 4350 every month.

Answer 7

does all of that make sense to you?

Answer 8

yes it does

Answer 9

nice! then we can quickly move on.

Answer 10

(:

Answer 11

so part A says that every student attends the class for the same amount of time, and we need an equation to solve for how many hours they each student learns a month. So lets start modeling her income!

Answer 12

INCOME = ______________
we know that she pays 450 every month so how does that appear in her income?

Answer 13

when she earns 4,350?

Answer 14

let's ignore the total for now, we can put it in later.

Answer 15

ok

Answer 16

oh I forgot to mention that if I am not making sense or I am confusing you please tell me, I will try my best to amend my explanation!

Answer 17

ok thanks

Answer 18

How do I find the income? @1DEA

Answer 19

oh sorry I guess I am not asking you correctly, hold on a sec

Answer 20

its okay im so glad ur helping me! (:

Answer 21

it's not a problem.
So if she is paying 450 every month does she gain money or lose money?

Answer 22

She looses money

Answer 23

cool so it's -450 right?

Answer 24

Right

Answer 25

alright let's take another part:
so for every student every hour she gains 40, but to get how much she gets every month we must multiple that by what?

Answer 26

I think you Multiply that by -450?

Answer 27

Or that's what were trying to find out? like x?

Answer 28

Hmmm. Let's look at this another way! So let's say you are teaching students and you are charging them 40 an hour. And you have 8 students how much money would you make after an hour?

Answer 29

Im sorry my brain is startin to shut down. I multipled it by 8, so 320?

Answer 30

so when she charges 40 she earns 40? im I right?

Answer 31

It is kind of late. But that's right so we need to do the same thing with our problem. Find the number of students multiply by the amount of time each student uses times by the fare.

Answer 32

yes that's right when she charges 40 for 1 student for 1 hour. When 1 student attends for 1 hour she earn 40!

Answer 33

so 5 student times 1 houre times 40?

Answer 34

well we don't know the time so let's not say 1 hour but rather t hours. Does make sense? Also do we have 5 students? or do we have groups of 5 students?

Answer 35

oh yes that's right we have groups of 5 students. okay t hours; 5 groups of students*t hours*40?

Answer 36

but we can do one better can't we? we know how many student are in each group so...?

Answer 37

yes, there are 5 students in each 4 groups

Answer 38

which makes how many students?

Answer 39

21?

Answer 40

uhh I think you mean 20 since 4*5 = 20?

Answer 41

yesss I messed up

Answer 42

cool so bring it together 40*...

Answer 43

40 * t = 20? I think?

Answer 44

oooh so close. No she earns 40 for every student for every hour. SO $40 * t hours * 20 students

Answer 45

40* t hours * 20 is that our equation?

Answer 46

no that's simply how much she earn from the children right?

Answer 47

I though It was = 20 because of how many students there is. I see now. & okay I see

Answer 48

cool! so she earns that much from her student however didn't we say that she loses money somewhere?

Answer 49

yeah -450

Answer 50

so put those two together and we get?

Answer 51

with the money she earns form the students?

Answer 52

yes I mean income is earning - expenses isn't it?

Answer 53

-450 is how much she looses, so do I subtract it like 40* t hours * 20 - 450 or multiply it?

Answer 54

or its equal to? as in 40* t hours * 20= -450

Answer 55

so her income is from the students which we said was $40 * t hours * 20 students and her expenses are 450 from rent. So how much money does she have?

Answer 56

ok so I will tell you that all of this will equal how much money she has in her pocket.

Answer 57

im not sure what im supposed to do at this point? multiply ?

Answer 58

no don't think so deeply. Let's say you earn 50 dollars a month but you need to pay 25 dollars a month for rent, how would you write that with numbers?

Answer 59

I would have to subtract it and see what I have less after I pay

Answer 60

exactly so in the problem she earns $40 * t * 20 a month but needs to pay 450 a month. So how much money does she have?

Answer 61

4*20=80? 80 is what she has?

Answer 62

wait how did you get that? When I put you in that example you simple subtracted your rent from how much you earned didn't you? Why didn't you do the same?

Answer 63

for her I mean

Answer 64

shell have 410?

Answer 65

uh no. Don't give btw you are soooo close!

Answer 66

shell have 430?

Answer 67

so think of it like this don't try to get a number, get an equation!

Answer 68

if she earns 40*20*t and spends 450 she will have what?

Answer 69

idk I think 350? Im tryin like everythin

Answer 70

haha I know. Ok how about I give you the equation and we'll take it apart ok?

Answer 71

ok sure

Answer 72

so here income = 40*20*t - 450
do you see why it is like this?

Answer 73

Okay yeah I know the parts, the 40 is how much she earns and givs each hour, the 20 is the entire students and the 450 is how much she has to pay right?

Answer 74

exactly now we actually know much she earn don't we?

Answer 75

yea 40

Answer 76

no that's how much she earns per student, I mean after everyone has paid her and she has paid her bills how much money she has.

Answer 77

I think she would finish with 350 btw is the equation 40*20*t - 450 for part A ?

Answer 78

no not yet we need to make it equal something. Why don't you read the question to see how much she gets every month.

Answer 79

she gives them 450 each month right

Answer 80

yes but how much money does she have? doesn't it say that her monthly net earning are $4,350?

Answer 81

so she has 4,350 but earns 450 each month so I subtract that?

Answer 82

no she earns 4350 every month if you take her earning and subtract her rent

Answer 83

so 4350-450= 3900?

Answer 84

no it's 4350 = 40*20*t - 450...does this make sense? I feel like we've been at this for too long and your brain is scrambled by now.

Answer 85

Yes it does make since and yes my brain is scrambled. lol Thank you for ur help anyway

Answer 86

no problem sorry that I am not a better teacher.

Answer 87

its okay I understand how do I find the hours for there dancing in a month?

Answer 88

so anyways that's part A now for part B they want to know how many hours each student spends, so that's asking to solve for t can you do it?

Answer 89

I just want to know how

Answer 90

you solve for t???

Answer 91

I don't understand what you are asking?

Answer 92

I tried to solve for t I got 108.75

Answer 93

that's a crazy amount of hours

Answer 94

I don't think that's right, let's do this together! Come on we are almost done!

Answer 95

okay lol sure

Answer 96

4350 = 40*20*t - 450 becomes
4350 = 800t - 450
what do we do next?

Answer 97

I think we subtract the 800-450 right ?

Answer 98

no we add 450 to both sides, does that sound familiar to you?