A certain drug dosage calls for 21 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 181 pounds, how much of the drug should they get each dosage?

The person weighing 181 pounds should get 862.05 mg of drugs for each dose.

Step-by-step explanation:

Weight of the person = 181 pounds

= 82.1 kg

2 Dosage = 21 mg per kg per day

1 dosage = 10.5 mg per kg

For 1 kg 10.5 mg of drugs can be taken and for 82.1 kg,

= 82.1 x 10.5

= 862.05 mg of drugs can be taken

The person weighing 181 pounds should get 862.05 mg of drugs for each dose.

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4