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# psychologist

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Manager
Joined: 30 Jan 2006
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14 Dec 2007, 09:00
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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

3(45) + 30 = $165 Answer D CEO Joined: 29 Mar 2007 Posts: 2583 Followers: 18 Kudos [?]: 324 [0], given: 0 Re: psychologist [#permalink] ### Show Tags 14 Dec 2007, 11:29 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
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14 Dec 2007, 12:20
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, 12:20
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# psychologist

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