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Dosage questions using percentages

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Method 1

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Convert the Percentage into a decimal by dividing by 100.

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Multiply your answer by the original drug amount.

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Take your answer away from the original drug amount.

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Method 2

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Percentage means \"out of 100\" so the maximum a true percentage can be is 100. 

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If we reduce something by a percentage then what is left is 100 minus the original percentage which is our new percentage.

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Convert the new percentage into a decimal by dividng by 100.

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Multiply your decimal answer by the original drug amount.

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The normal adult dose of drug A is $\\var{a}$mcg. Since the patient is a child, they require a reduction in dosage of $\\var{b}\\%$. What is the new dose that the patient should be given? Give your answer in both mcg and mg.

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[[0]]mcg

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[[1]]mg

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Dosages using percentages

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Method 1

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Convert the Percentage into a decimal by dividing by 100. -> $\\dfrac{\\var{b}}{100} = \\var{b1}$

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Multiply your answer by the original drug amount. -> $\\var{b1}\\times\\var{a} = \\var{c}$

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Take your answer away from the original drug amount. -> $\\var{a} - \\var{c} = \\var{ans}$

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Method 2

\n

Percentage means \"out of 100\" so the maximum a true percentage can be is 100. 

\n

If we reduce something by a percentage then what is left is 100 minus the original percentage which is our new percentage. -> $100 - \\var{b} = \\var{b2}$

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Convert the new percentage into a decimal by dividng by 100. -> $\\dfrac{\\var{b2}}{100} = \\var{d}$

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Multiply your decimal answer by the original drug amount. -> $\\var{a} \\times \\var{d} = \\var{ans}$

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To convert, divide your answer by 1000. -> $\\dfrac{\\var{ans}}{1000} = \\var{ans1}$

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