Meghan needs to board her cats and dogs at a kennel while she's 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. How many cats and how many dogs does Meghan have?

2 Cats and 3 Dogs.

Step-by-step explanation:

Let the number of cats owned by Megan =c

Let the number of dogs owned by Megan =d

Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00.

This gives us:

Animal Spa charges $35.50 for a cat and $50.50, for a total cost of $222.50.

This gives us:

We have derived two linear equations which we can now solve simultaneously for c and d.

Multiply the first equation by 50.50 and the  second equation by 64.

Subtract

Divide both sides by -125.75

Substitute c=2 into any of the equations to obtain d.

42.50c+64.00d=277.00

42.50(2)+64.00d=277.00

85+64.00d=277.00

64.00d=277-85=192

Divide both sides by 64

Meghan has 2 Cats and 3 Dogs.

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step-by-step explanation: