SOLUTION: Ted the mechanic charged one customer $565 for 4 hours of work. The next day, he charged another customer $1,210 for 9 hours of work. A new customer came in and Ted worked on his

Question 967946: Ted the mechanic charged one customer $565 for 4 hours of work. The next
day, he charged another customer $1,210 for 9 hours of work. A new customer
came in and Ted worked on his car for 7 hours. What did he charge him?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Ted charges a flat fee plus an hourly rate.
.
h=hourly rate work; f=flat fee
f+4h=$565 Subtract 4h from each side.
f=$565-4h Use this to substitute for f below
9h+f=$1020 Substitute for f from above.
9h+$565-4h=$1020 Subtract $565 from each side.
5h=$455
h=$91 Ted charges $91 an hour.
f=$565-4h
f=$565-4($91)
f=$565-$364
f=$201 Ted's fixed fee is $201
.
CHECK:
9h+f=$1020
9($91)+$201=$1020
$819+$201=$1020
$1020=$1020
.
For 7 hours work, Ted would charge:(c=total charge)
f+7h=c
$201+7($91)=c
$201+$637=c
$838=c
ANSWER: Ted would charge $838 for 7 hours work.

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