Answered

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A Child with severe poison ivy weighs 25kg. The medicine needed is Benadryl po and for treatment 5mg of Benadryl is required for every 1 kg of the child. The Benadryl is available as a 12.5mg/5mL solution. If one dose of this medicine is equal to 12.5 mL ( 1dose = 12.5mL) how many doses are needed?

Sagot :

ardni313

Number of doses needed : 4 doses

Further explanation

Given

weight of the child : 25 kg

Treatment of Benadryl : 5 mg/kg weight

The concentration of Benadryl : 12.5 mg/5 ml

1 dose = 12.5 ml

Required

Number of doses needed

Solution

Amount of Benadryl for 25 kg weight :

[tex]\tt 25~kg\times 5~\dfrac{mg}{kg}=125~mg[/tex]

Amount of Benadryl solution :

[tex]\tt \dfrac{125~mg}{12.5~mg/5~ml}=125~mg\times \dfrac{5~ml}{12.5~mg}=50~ml[/tex]

Amount of doses :

[tex]\tt \dfrac{50~ml}{12.5~ml}=4~doses[/tex]

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