Problema Solution

Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication for a dog cost twice as much as for a cat. He needs to provide supplies for 164 cats and 24 dogs, and his budget is $4,240. How much can he spend on each dog for food and medication?

Answer provided by our tutors

let


d = the cost of food and medication for one dog

c = the cost of food medication for one cat


the food and medication for a dog cost twice as much as for a cat


d = 2c divide both sides by 2


c = d/2


he needs to provide supplies for 164 cats and 24 dogs, and his budget is $4,240


24d + 164c <= 4240


plug c = d/2 into the last equation


24d + 164(d/2) <= 4240


by solving the inequality we get


d <= $40


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Jeff can spend not more than $40 on each dog.