Question

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?

Answer 1

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 :

`\tt 25~kg* 5~(mg)/(kg)=125~mg`

Amount of Benadryl solution :

`\tt (125~mg)/(12.5~mg/5~ml)=125~mg* (5~ml)/(12.5~mg)=50~ml`

Amount of doses :

`\tt (50~ml)/(12.5~ml)=4~doses`