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A lawyer charges her clients $200 for the first hour of her time and

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Bunuel
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A lawyer charges her clients $200 for the first hour of her time and [#permalink] New post  09 Oct 2019, 02:33
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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) $155
(B) $160
(C) $164
(D) $172
(E) $185
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Priyanshu20
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Re: A lawyer charges her clients $200 for the first hour of her time and [#permalink] New post  09 Oct 2019, 06:04
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ANS A

Fixed cost for 1 hour = $200
Let, extra hours taken be = y
therefore, 200 + 150x = 1550
150x = 1350
x = 9

total hours = x +1 = 9+1 = 10
total fees = 1550
mean = total fees/ total hours ---> 1550/10 -----> $155per hour on average was charged.
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Abhishek009
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Re: A lawyer charges her clients $200 for the first hour of her time and [#permalink] New post  09 Oct 2019, 09:18
Bunuel wrote:
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) $155
(B) $160
(C) $164
(D) $172
(E) $185


Additional Hours taken by the client is 1550 - 200/150 = 9

Thus, Total time taken by the client is 9 + 1 = 10 HOurs....

So, Average charge per hour is 1550 / 10 = 155 , Answer must be (A)
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Re: A lawyer charges her clients $200 for the first hour of her time and [#permalink] New post  09 Oct 2019, 11:12
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Bunuel wrote:
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) $155
(B) $160
(C) $164
(D) $172
(E) $185


given
200+(150)*(x-1)= 1550
solve for x= 10 hrs
200+150*9 = 1550 $
avg per hr = 155$
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ScottTargetTestPrep
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Re: A lawyer charges her clients $200 for the first hour of her time and [#permalink] New post  12 Oct 2019, 17:03
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Bunuel wrote:
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) $155
(B) $160
(C) $164
(D) $172
(E) $185



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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Re: A lawyer charges her clients $200 for the first hour of her time and [#permalink] New post  27 Jan 2023, 14:11
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Re: A lawyer charges her clients $200 for the first hour of her time and [#permalink]
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