A lawyer charges her clients \(\$200\) for the first hour of her time and \(\$150\) for each additional hour. If the

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A lawyer charges her clients \(\$200\) for the first hour of her time and \(\$150\) for each additional hour. If the lawyer charged her new client \(\$1,550\) for a certain number of hours of her time, how much was the average (arithmetic mean) charge per hour?

A. \(\$150\)
B. \(\$160\)
C. \(\$164\)
D. \(\$172\)
E. \(\$185\)

OA A

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AAPL wrote:
Tue Oct 04, 2022 10:58 am
GMAT Prep

A lawyer charges her clients \(\$200\) for the first hour of her time and \(\$150\) for each additional hour. If the lawyer charged her new client \(\$1,550\) for a certain number of hours of her time, how much was the average (arithmetic mean) charge per hour?

A. \(\$150\)
B. \(\$160\)
C. \(\$164\)
D. \(\$172\)
E. \(\$185\)

OA A
We can let n = the total number of hours of the lawyer’s service to her client and create the equation:

1550 = 200 + 150(n - 1)

1350 = 150n - 150

1500 = 150n

10 = n

Thus, the average charge per hour was 1550/10 = 155 dollars.

Answer: A

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