SOLUTION: Mary owns a carpet cleaning business. She charges $67.95 for a 2 bedroom house and $82.25 for a three bedroom house. Last month the company had a gross income of $4,413.00 for cle

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Question 990064: Mary owns a carpet cleaning business. She charges $67.95 for a 2 bedroom house and $82.25 for a three bedroom house. Last month the company had a gross income of $4,413.00 for cleaning carpet in 8 more three bedroom houses than two bedroom houses. How many of each type did the company clean?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the number of 2-bedroom houses, y be the number of 3-bedroom houses.

Then you have a system of equations, according to the condition

system%28-x+%2B+y+=+8%2C%0D%0A67.95%2Ax+%2B+82.25%2Ay+=+4413%29.

Solve it. For example, use the elimination method

(y = 8 + x;
substitute it into the second equation;
you will get the equation for y only;
solve it;
then make back substitution . . . )