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15 October, 11:28

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?

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  1. 15 October, 14:38
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    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.
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