Mackenzie is responsible for buying a week's supply of food and medication for the puppies and kittens at a local shelter. the food and medication for each puppy costs twice as much as those supplies for a kitten. she needs to feed 164 kittens and 24 puppies. her budget is $4,240. how much can mackenzie spend on each puppy for food and medication?

Respuesta :

The budget is $4,240.

There are 164 kittens and 24 puppies.
Let
x = amount spent on each kitten
y =  amount spent on each puppy.

The cost for each puppy is twice a much as that for a kitten. Therefore
y = 2x                  (1)

The available amount is $4,240, therefore
164x + 24y = 4240          (2)

Substitute (1) into (2).
164x + 24(2x) = 4240
212x = 4240
x = $20
y = 2x = $40

Answer: $40 for each puppy.