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A hospital pharmacy charges $0.40 per fluidram of a certain medicine

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A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 09 May 2017, 08:23
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Question Stats:

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A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60
(B) $8.16
(C) $3.20
(D) $2.72
(E) $1.02

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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 09 May 2017, 09:09
128 fluidrams is 16 fluidounces, hence 1 fluidounce is 8 fluidrams.

Cost of 24 fluidrams(3 fluidounces) is
.85*24*.40=8.16
(less discount of 15% is .85) (Option B)
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A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 09 May 2017, 09:18
16 fluidounces = 128 fluidrams
=> 1 fluidounces = \(\frac{128}{16}\) = 8

=> 3 fluidounces = 3* 8 = 24

Cost of 24 fluidrams = 24 * 0.40 = $ 9.6

Cost after 15% discount = .85 * 9.6 = 8.16

Ans: $8.16

Ans: Option B
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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 09 May 2017, 09:53
128/x = 16/3
128 x 3 = 16x
x = 24

24 x 2/5 = 48/5

17/20 x 48/5
816/100 = 8.16
Which is answer B
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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 09 May 2017, 10:14
from the stem 1 fluidounce = 8 fluidrams.

Cost of 3 fluidounces = .85*24*.40=8.16

ans B
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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 10 May 2017, 06:10
Bunuel wrote:
A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60
(B) $8.16
(C) $3.20
(D) $2.72
(E) $1.02

Given that, 1 fluideounces = 8 fludgrams
3 equals 24 ( 8*3)
24*.4 = 9.6

as it is given that 15% discount allowable on Medicare patients
thus, 9.6 * .15= 8.16 (B).
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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 10 May 2017, 08:03
2
Bunuel wrote:
A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60
(B) $8.16
(C) $3.20
(D) $2.72
(E) $1.02



Charge = \(\frac{85}{100}\) of \(\frac{$0.40}{fluidram}\) * 3 fluidounces = \(\frac{17}{20} * \frac{$0.4}{fluidram} * 3 * \frac{128}{16}\) fluidrams

Charge = $8.16

Answer (B)

For more on this method, check: https://www.veritasprep.com/blog/2011/0 ... nd-ounces/
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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 16 May 2017, 17:17
Bunuel wrote:
A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60
(B) $8.16
(C) $3.20
(D) $2.72
(E) $1.02


We are given that a particular medicine costs $0.40/1 fluid dram. A particular Medicare patient needs 3 fluid ounces. Let’s first convert 3 fluid ounces to fluid drams.

Since 128 fluid drams = 16 fluid ounces, 8 fluid drams = 1 fluid ounce.

Thus, 3 fluid ounces = 3 x 8 = 24 fluid drams.

Thus, the regular cost for 24 fluid drams is 24 x 0.4 = $9.60; however, with a 15% discount, the cost is 9.6 x 0.85 = $8.16.

Answer: B
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Re: A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 30 Dec 2017, 22:24
There are 24 fluidrams, which cost 9.60$ without discount, with discount they would be <9.60$ , closet and the realistic answer choice is B.
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A hospital pharmacy charges $0.40 per fluidram of a certain medicine  [#permalink]

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New post 31 Dec 2017, 08:22
Bunuel wrote:
A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60
(B) $8.16
(C) $3.20
(D) $2.72
(E) $1.02

Discount for Medicare patients per fluidram:
$0.40 * .85 = $0.34
fluidram = Fl.ram
fluidounce = Fl.ounce

Setting up factors so that most units cancel. In conversion problems, the method is usually very efficient. Set the factors up so that the units you want remain (here, dollars):

\(\frac{$0.34}{(1)Fl.ram}*\frac{128Fl.rams}{16Fl.ounces}* 3Fl.ounces= $8.16\)

Answer B
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