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 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?

 

 Feb 23, 2015
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   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?     

 

        280 + 15H  =  376 + 12H     

        15H – 12H  =  376 – 280     

                    3H  =  96     

                      H  =  32            ==>     a.  32 hours     

 

        280 + (15)(32)  =     

        280 +     480     =  760    ==>     b.  $760     

 

        confirm answer     

        Does 376 + (12)(32)  =  760  ?     

                 376 +     384     =  760  ?     

                               760     =  760  True     

   .     

 Jun 8, 2026

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