A number of light bulbs were purchased to illuminate a gym. However, only 2/3 of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?
(A) 360
(B) 320
(C) 384
(D) 364
(E) 160
Since 2/3 of the bulbs were needed, the returned bulbs represent 1/3 of the original purchase.
Thus, the returned bulbs cost 1/3 of the total paid prior to the reimbursement.
We can plug in the answers, which represent the money spent to illuminate the gym.
Answer choice C: 384.
Since 96 was reimbursed, total spent before reimbursement = 384+96 = 480.
Cost of the returned bulbs = (1/3)*480 = 160.
Reimbursement = .6*160 = 96. Success!
The correct answer is
C.
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