Question

A Carpenter charges a set fee for each job in a addition to his hourly charge. If a carpenter bills a customer $125 for a job which takes him 3 hours and bills a second customer $200 for a 6 hour job, how much would he charge for a job that takes him 8 hours? plzzzzz help!!!!

Answer 1

set up your equations. we have two unknowns. x will be the set fee and y*t will be the hourly rate times the number of hours. can you set up from here?

Answer 2

not really can u help me?

Answer 3

for the first job takes 3 hours, so t=3. the total cost is 125 so,
x+3y=125
try to set up the second equation using the second job's time and cost.

Answer 4

ok thnx and the other 1 would be x+6y+200 am i right?

Answer 5

=200

Answer 6

o my bad i meant that lol

Answer 7

then solve for x in one equation and so on

Answer 8

hmmm how can u do it?

Answer 9

take the first equation I gave you and move everything to the other side except for x. that is what x equals. plug that into the second equation for x. this leaves you with only y's and constants.

Answer 10

ok let me do it hold on

Answer 11

so it would be x=3y+125?

Answer 12

125-3y

Answer 13

121? then

Answer 14

now plug (125-3y) into the second equation in place of x.

Answer 15

can u help me cuz im totally lost lol

Answer 16

I'm trying to show you the steps needed.
so the second equation is:
x+6y=200
and we know that: x=125-3y
so (125-3y)+6y=200 is the same thing as the original second equation

Answer 17

ok thnx and i multiply 6x with -3x right?

Answer 18

now combine the y's and move constants to the right side

Answer 19

-18=325? am i right

Answer 20

125-3y+6y=200, I put the parenthesis in last time to show you it was x, but the -3y is not multiplied by 6y it is added to it. remember, if you move a positive to the other side, what you are doing is subtracting it from both sides.

Answer 21

ok is it 3y=75?

Answer 22

yes, now divide by three to solve for y. then go to the equation x=125-y to solve for x.
remember that x is the set fee and y is the hourly rate.

Answer 23

so the answer will be 100?

Answer 24

cuz y=25

Answer 25

x would equal 100

Answer 26

x=100, yes. now what do you think your equation to answer the question is?

Answer 27

x=100 and y=25?

Answer 28

plz help me i almost gtg

Answer 29

yes on values. remember what we defined x and y as are the hourly rate and the set fee. so we need to add up the set fee plus the product of the hourly rate times the hours. this will give you the total cost for the job.

Answer 30

so wats the answer?

Answer 31

x+8y=

Answer 32

thats the answer?

Answer 33

you have x and y

Answer 34

yes i do

Answer 35

plz help me i almost gtg

Answer 36

100+8*25=the cost of the job

Answer 37

300$?

Answer 38

is that the answer?

Answer 39

it is.

Answer 40

ok thank you!!!!!!

Answer 41

np