A house-painting company charges a $376 base rate plus $12 per hour. Another painting company charges a base rate of $280 plus $15 per hour.
How long is a job for which both companies will charge the same amount?
a) hours
b) How much will the job in part "a" cost?
$
Alright let's have a look
A house-painting company charges a $376 base rate plus $12 per hour. Another painting company charges a base rate of $280 plus $15 per hour.
Just say a job took 2 hours today.
the first company would charge $376+ 12*2 = 376+24 = $400
the second company would charge 280+ 15*2 = 280+30 = $310 (this one is cheaper)
Do you understand so far?
We need to know how many hours would the painters work if the price ended up being the same
I don't know how many hours so I called that H
company one 376+12H dollars
company two 280+15H dollars
We need to know when these will be the same.
376+12H =280+15H
subtract 12H from both sides
376 +12H-12H = 280 +15H-12H
376 = 280 +3H
Take 280 of both sides
376-280=280+3H-280
96 = 3H
3H=96
H= 96/3 = 32 hours
now the first company will charge
376+12H = 376 +12*32 = 376 + 384 = $760
the second company will charge
280+15H = 280+15*32 = 280 + 480 = $760
GOOD they are the same - that proves that the answer is correct
376+12H=280+15H
a) solve for H
b) Once you have H you cansub it back into 376+12H or into 280+15H to find the cost of this job.
The 2 answers should be the same :)
you do not understand what I have already done?
or you do not understand what do do next?
Alright let's have a look
A house-painting company charges a $376 base rate plus $12 per hour. Another painting company charges a base rate of $280 plus $15 per hour.
Just say a job took 2 hours today.
the first company would charge $376+ 12*2 = 376+24 = $400
the second company would charge 280+ 15*2 = 280+30 = $310 (this one is cheaper)
Do you understand so far?
We need to know how many hours would the painters work if the price ended up being the same
I don't know how many hours so I called that H
company one 376+12H dollars
company two 280+15H dollars
We need to know when these will be the same.
376+12H =280+15H
subtract 12H from both sides
376 +12H-12H = 280 +15H-12H
376 = 280 +3H
Take 280 of both sides
376-280=280+3H-280
96 = 3H
3H=96
H= 96/3 = 32 hours
now the first company will charge
376+12H = 376 +12*32 = 376 + 384 = $760
the second company will charge
280+15H = 280+15*32 = 280 + 480 = $760
GOOD they are the same - that proves that the answer is correct