Question

Joel’s veterinarian tells him that he can give his dog 11 5/8 mg of Benadryl for relief of his dogs allergies. Joel’s dog weighs 15 1/2 pounds.

Part a: what is the Benadryl dosage per pound for Joel’s dog?


Part b: If Joel’s veterinarian always uses the same milligrams per pound for prescribing aspirin to dogs, what would she prescribe for a dog that weighs 12 pounds?

Answer 1

Explanation:

Given that,

The dosage of Benadryl for Dog is
`11(5)/(8)\ mg`

Weight of Joel's Dog is
`15(1)/(2)\ \text{pounds}`

(a) Benadryl dosage per pound for Joel’s dog is calculated as :

`(11(5)/(8))/(15(1)/(2))=((11* 8+5)/(8))/((15* 2+1)/(2))\\\\=((93)/(8))/((31)/(2))\\\\=(93)/(8)* (2)/(31)\\\\=0.75\ \text{dosage per pound}`

(b) If the weight of the Dog is 12 pounds, it means

`(11(5)/(8))/(12)\ \text{dosage per pounds}\\\\=((93)/(8))/(12)\\\\=(93)/(8)* (1)/(12)\\\\=0.968\ \text{dosage per pounds}`

Therefore, this is the required solution.