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A patient is given exactly 750 milliliters of a mixture of two medicat
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15 Sep 2021, 09:31
15 Sep 2021, 09:31
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A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150
B. 225
C. 325
D. 425
E. 550
A. 150
B. 225
C. 325
D. 425
E. 550
Re: A patient is given exactly 750 milliliters of a mixture of two medicat
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15 Sep 2021, 10:01
15 Sep 2021, 10:01
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Total mixture \(= 750 ml\)
Medication \(A\) has \(40\)% & medication \(B\) has \(20\)% pain-killer.
Let's say medication \(A = x\) ml & medication \(B = 750 - x\) ml
\(0.4x + 0.2(750-x) = 215\)
\(0.2x = 65\)
\(x = 325\)
Medication \(A = 325\) ml & medication \(B = 425\) ml
Answer D
Medication \(A\) has \(40\)% & medication \(B\) has \(20\)% pain-killer.
Let's say medication \(A = x\) ml & medication \(B = 750 - x\) ml
\(0.4x + 0.2(750-x) = 215\)
\(0.2x = 65\)
\(x = 325\)
Medication \(A = 325\) ml & medication \(B = 425\) ml
Answer D
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Re: A patient is given exactly 750 milliliters of a mixture of two medicat
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15 Sep 2021, 10:03
15 Sep 2021, 10:03
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Carcass wrote:
A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150
B. 225
C. 325
D. 425
E. 550
A. 150
B. 225
C. 325
D. 425
E. 550
Medication A: 40% pain killer
Medication B: 20% pain killer
We combine medications to get TOTAL of 750 ml that's approximately 29% pain killer (215/750 ≈ 29%)
Important, if we combine EQUAL AMOUNTS of medications A and B (i.e., 375 mls of each), the TOTAL mixture is 30%.
Since the ACTUAL mixture is 29% , we know that this mixture has MORE of medication B (20%) than medication A (40%)
However, since 29% is very close to 30%, we know that a BIT MORE than half the mixture is medication B.
Check the answer choices to see that D (425) is a bit more than half.
Answer: D
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