Assume the recommended single dose of an antihistamine for a child weighing 36–47 lbs is 1.50 teaspoons (tsp) . If 1.00 tsp contains 12.5 mg per 5 mL of the active ingredient in the antihistamine, how many milligrams of active ingredient does the recommended dose for a child weighing 36–47 lbs contain? Assume that 1.00 tsp = 5 mL .

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Answer:

18.75 milligrams of active ingredient is the recommended dose for a child weighing 36–47 lbs .

Explanation:

Recommended dose of an antihistamine for a child weighing 36–47 lbs = 1.50 tsp

1 table spoon of antihistamine has 12.5 mg per 5 mL of dose.

Amount of dose in 1 teaspoon = [tex]\frac{12.5 mg}{5 mL}=2.5 mg/mL[/tex]

Volume of 1 tsp = 5 ml

Volume of 1.50 teaspoon = [tex]5 mL\times 1.50 =7.50 mL[/tex]

Amount of antihistamine in 7.50 mL :

[tex]=2.5 mg/mL\times 7.50 mL=18.75 mg[/tex]

18.75 milligrams of active ingredient is the recommended dose for a child weighing 36–47 lbs .

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