SOLUTION: Picky Painters charges a flat fee of $300 plus $20 per hour for labor. Color Creators charges a flat fee of $500 plus $12 per hour for labor. After how many hours will the charges

Algebra ->  Systems-of-equations -> SOLUTION: Picky Painters charges a flat fee of $300 plus $20 per hour for labor. Color Creators charges a flat fee of $500 plus $12 per hour for labor. After how many hours will the charges       Log On


   

Question 524079: Picky Painters charges a flat fee of $300 plus $20 per hour for labor. Color Creators charges a flat fee of $500 plus $12 per hour for labor. After how many hours will the charges for each company be equal? What is the charge? I need the system.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = the total charge
Let h = number of hours
The equation for PP is:
+C+=+300+%2B+20h+
The equation for CC is:
+C+=+500+%2B+12h+
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Set the equations equal to eachother
+300+%2B+20h+=+500+%2B+12h+
+300+%2B+8h+=+500+
+8h+=+500+-+300+
+8h+=+200+
+h+=+200%2F8+
+h+=+25+
After 25 hours, the charges will be the same