Question

Glenn works as an office clerk and his job pays him $12 per hour. Shelia works as a cashier and her job pays her $13.50 per hour. Together, they worked 55 hours and earned a total of $705. How many hours did Glenn work in his job?

A. 20
B. 30
C.35
D.25

Answer 1

Shelia=x hours
Glenn=y hours
we know x+y = 55

13.50 x and 12y taking the number of hours times amount per hour
will equal 705

so are system of equations are
x+y = 55
13.50x + 12y = 705

Answer 2

Can you explain that to me a bit more please

Answer 3

ok you probably are having trouble solving the system of equations right??

Answer 4

Yes

Answer 5

My problem is, I dont understand how the problem is supposed to be set up so I can figure out the question

Answer 6

ok

multiply x+y=55 times -12
-12(x+y=55)

-12x -12y = -660 and add to the next equation
13.50x + 12y = 705
____________________________
1.50x = 45 divide both sides by 1.50

x= 30 this is sheila's hours worked what is Glen's

Answer 7

do you understand all the steps

Answer 8

No

Answer 9

ok i looked at the total number of hours worked 55

and i assigned a x to sheila and y to glen

and then formed an equation

x+y = 55

so far so good

Answer 10

Alright I'm understanding that part now

Answer 11

all right next

if you take the number of hours a person worked and multiply it by the amount they get paid per hour that is their total amount paid.

but here we have two people
so we add their amounts together

remember sheila is x and glen is y so we have to multiply their no hours worked
by what there hourly rate is

sheila 13.50 * x
glen 12 * y
this will equal the total amount 705 dollars

here is the second equation

13.50x + 12 y = 705 dollars

Answer 12

ok with that??

Answer 13

Yes!!! Thank you very much!