Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hour plus $30 for supplies. The equations give the total cost for x hours of work for each painter. For how many hours of work are Otis's and Shireen's costs equal? What is the cost for this number of hours? Y= 45x + 75 - Otis Y= 55x + 30 - Shireen

The cost will be equal at 4.5 hrs

Step-by-step explanation:

Otis paints the interior of a home for $45 per hour plus $ 75. Shireen paints the interior of a home for $ 55 per hour plus $30.

The total cost Y of Otis and Shireen's  for x hours are

Y= 45x + 75

Y= 55x + 30

For the cost to be equal

45x + 75  =  55x + 30

collect like terms

75 - 30 = 55x - 45x

45 = 10x

divide both sides by 10

x = 45/10

x = 4.5 hrs

The cost will be equal at 4.5 hrs

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