SOLUTION: An electrician charges a flat rate for a service call, plus a per hour charge to do the work. The total bill for a job that took 6 hours was $450. The total bill for a job that too

Question 1033049: An electrician charges a flat rate for a service call, plus a per hour charge to do the work. The total bill for a job that took 6 hours was $450. The total bill for a job that took 4 hours was $330. How much does the electrician charge for a service call?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x equal the service charge.
let y equal the per hour charge.

for the job that cost 450, the equation is 450 = x + 6y
for the job that cost 330, the equation is 330 = x + 4y

these two equations needs to be solved simultaneously.

subtract the second equation from the firs to get 120 = 2y
solve for y to get y = 60.

in the first equation, replace y with 60 to get 450 = x + 6*60.
simplify to get 450 = x + 360.
subtract 360 from both sides of the equation to get 90 = x.

it appears that the service charge is equal to 90 and the per hour charge is equal to 60.

for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.

for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.

the numbers check out.

the service charge is 90.
the per hour charge is 60.

i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.

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