Question

Meghan needs to board her cats and dogs at a kennel while she is on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50.

Write a system of equations to represent each charge. Let x represent the number of cats and let y represent the number of dogs.

Pet Hotel: ?
Animal Spa: ?

Answer 1

Pet Hotel: 42.50 x + 64 y =277

Animal Spa: 35.50x + 50.5y = 225.50

Explanation:

Hi, to answer this question we have to write an equation for each place:

For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .

Mathematically speaking:

Pet hotel: 42.5 x + 64 y =277

Same process for Animal Spa:

Animal Spa: 35.5 x + 50.5y = 225.50

The system is:

42.5 x + 64 y =277 (Pet Hotel)

35.5 x + 50.5y = 225.50 (Animal Spa)