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Answer
Find out the At how many hours of work will the total cost be the same for both families .
To prove
Let us assume that the number of hours at which the total cost be the same for both families be x .
As given
Smith's family contractor charges $16.50 per hour plus $289 in supplies .
Jackson's family contractor charges $18.75 per hour and $274.60 in supplies.
Than the equation becomes
16.50x + 289 = 18.75x + 274.60
16.50x - 18.75x = 274.60 - 289
-2.25x = -14.4
x = 6.4 hours
Therefore in 6.4 hours of work will the total cost be the same for both families .