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# psychologist

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Manager
Joined: 30 Jan 2006
Posts: 62
Followers: 1

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psychologist [#permalink]  14 Dec 2007, 08:00
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 0 sessions
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4. A certain psychologist charges $30 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 6 hours of therapy is$300, what is the total charge to a patient who receives only 3 hours of therapy ?
(A) $120 (B)$135
(C) $150 (D)$165
(E) $192 Director Joined: 12 Jul 2007 Posts: 862 Followers: 13 Kudos [?]: 240 [0], given: 0 [#permalink] 14 Dec 2007, 08:04 6x + 30 = 300 6x = 270 x =$45

3(45) + 30 = $165 Answer D CEO Joined: 29 Mar 2007 Posts: 2584 Followers: 17 Kudos [?]: 303 [0], given: 0 Re: psychologist [#permalink] 14 Dec 2007, 10:29 smily_buddy wrote: 4. A certain psychologist charges$30 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 6 hours of therapy is $300, what is the total charge to a patient who receives only 3 hours of therapy ? (A)$120
(B) $135 (C)$150
(D) $165 (E)$192

x+30 + 5x =300 (its 5x b/c we already have one hour in x+30)

x=45

x+30 +2x=? 75+90=165

D.

def. avoid the "obvious" answer of C here.
Director
Joined: 26 Feb 2006
Posts: 904
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Kudos [?]: 78 [0], given: 0

Re: psychologist [#permalink]  14 Dec 2007, 11:20
smily_buddy wrote:
4. A certain psychologist charges $30 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 6 hours of therapy is$300, what is the total charge to a patient who receives only 3 hours of therapy ?
(A) $120 (B)$135
(C) $150 (D)$165
(E) \$192

300 = (30+x) + 5x
x = 45

for 3 hours: (30+x) + 2x = 75+90 = 165
Re: psychologist   [#permalink] 14 Dec 2007, 11:20
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