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Test CODE - 52; Section 1 ; Question 4

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by irfan_m1973 » Mon Nov 30, 2009 5:18 am
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
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by mp2437 » Mon Nov 30, 2009 8:01 am
let x be the amount the doctor charges per hour. You know that the first hour costs x + 30, and x each subsequent hour. If 6 hours of treatment cost 300, then (x+30) + x + x + x + x + x = 300, or 6x + 30 = 300.

Solve for x: x = 45.

For 3 hours of therapy, cost is (x + 30) + x + x = 75 + 45 + 45 = 165. Choice D.
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