Question

tom,ted,tony,and terry worked together on a job.the job paid according to the amount of work he contributed to the job.ted and tony earned $280 together.ted and tom have $260,and ted and terry got $220.what percent of the job did each boy do

Answer 1

@phi

Answer 2

@mathgeek27

Answer 3

@mathgeek27

Answer 4

@mathmath333

Answer 5

@phi

Answer 6

@mathgeek27

Answer 7

i know is 760, but I think a piece of info is missing

Answer 8

*all money added together is 760

Answer 9

my teacher gave me an equation but i dont know how to find the percetage of each boy do you want me to give you the equation

Answer 10

yes plz

Answer 11

he said t= ted (The constant)
t+(280-t)+(260-t)+(220-t)=500
t-t-t-t+280+220+260=500
the two ts cancel out so its
2t+760=500

280 is ted and tony
260 is ted and tom and 220 is ted and terry just in case you wanted to know the other t the first t is ted and the other t in the parenthesis is his friends

Answer 12

first of all ur question is incomplete

Answer 13

personally, I'm stumped, but i'll get my friend to help u, He's great:)

Answer 14

ok mathgeek27

Answer 15

Tom, Ted, Tony and Terry worked together on a job. The job paid $500. Each boy was paid according to the amount of work he contributed to the job. Ted and Tony earned $280 together. Ted and Tom have $260 and Ted and Terry got $220. What percent of the job did each boy do

this is the correct one

Answer 16

@-StudyShark-

Answer 17

sorry i couldn't be of further help :(

Answer 18

Good luck :)

Answer 19

its fine @mathgeek27

Answer 20

@mathmath333

Answer 21

do you think you can help

Answer 22

wait

Answer 23

@-StudyShark-

Answer 24

@phi

Answer 25

\(\large\tt \color{black}{tom+ted+tony+ terry=500}\)

\(\large\tt \color{black}{ted+tony=280}\)

\(\large\tt \color{black}{tom+ted=260}\)

\(\large\tt \color{black}{ted+ terry=220}\)

Answer 26

but what percentage does each boy make

Answer 27

this is a "system of equations" with 4 unknowns and 4 equations.
all those "t names" are very confusing, so let me use w,x,y,z

w= tom, x= ted, y= tony, z= terry

w + x + y + z = 500
x +y = 280
w+ x = 260
x + z = 220

Answer 28

so @phi how im i supposed find out what percentage each boy makes

Answer 29

It still looks complicated.
but we could use the last equation to solve for z:
z = 220 - x

and the second equation to solve for y: y= 280 -x
and the 3rd equation to solve for w: w= 260 -x

and use those in the first equation

Answer 30

4 equations and 4 unknowns are hard. but to continue
z = 220 - x
y= 280 -x
w= 260 -x

w + x + y + z = 500
(260-x) + x + (280-x) + (220-x) = 500

260 + (-x +x) + 280 -x + 220 - x = 500

the -x+x =0
the numbers 260+280+220 add up to 760
the -x - x add up to -2x
so we get

760 - 2x = 500

can you solve for x?

Answer 31

yes i think i can solve for x @phi

Answer 32

what do you get ?

Answer 33

x equals 130 @phi

Answer 34

w= tom, x= ted, y= tony, z= terry
ok, x (ted) makes 130
total is 500
for percent use part/whole * 100
130/500 * 100

Answer 35

so for example terry percentage will be 220/100

Answer 36

i mean 220/500 *100 @phi

Answer 37

what did you get for ted?

Answer 38

130

Answer 39

what percent ?

Answer 40

26%

Answer 41

because you said 130 over 500 multiply by 100

Answer 42

@phi

Answer 43

yes.
now to find the others, we have to be careful. If you followed what we did then you know we have these equations:
x= 130

z = 220 - x
y= 280 -x
w= 260 -x

w= tom, x= ted, y= tony, z= terry

Answer 44

so it will be 220-130=90 90/500 * 100 will be the percentage for z

Answer 45

@phi

Answer 46

yes, and z is terry

Answer 47

oh and for terry i will do the same for each and ever one of them @phi

Answer 48

but ted percent was 26 right

Answer 49

@phi

Answer 50

yes so far ted is 26 and terry (z) is 90/500 * 100
btw, I would multiply top and bottom by 2 to get 180/1000 * 100
and simplify that to 180/10 = 18%

Answer 51

oh ok do you want me to do that with all of them or do it the way i was doing it @phi

Answer 52

and thank you so much btw

Answer 53

do it the long way. the other was a side note.

Answer 54

oh thank you so much @phi

Answer 55

as a check, when you are done, all 4 percentages should add up to 100%

Answer 56

ok thank you @ phi