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

Step-by-step explanation:

Given that,

The dosage of Benadryl for Dog is $11\dfrac{5}{8}\ mg$

Weight of Joel's Dog is $15\dfrac{1}{2}\ \text{pounds}$

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

$\dfrac{11\dfrac{5}{8}}{15\dfrac{1}{2}}=\dfrac{\dfrac{11\times 8+5}{8}}{\dfrac{15\times 2+1}{2}}\\\\=\dfrac{\dfrac{93}{8}}{\dfrac{31}{2}}\\\\=\dfrac{93}{8}\times \dfrac{2}{31}\\\\=0.75\ \text{dosage per pound}$

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

$\dfrac{11\dfrac{5}{8}}{12}\ \text{dosage per pounds}\\\\=\dfrac{\dfrac{93}{8}}{12}\\\\=\dfrac{93}{8}\times \dfrac{1}{12}\\\\=0.968\ \text{dosage per pounds}$

Therefore, this is the required solution.