Answer:
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.
- 2146.25c+3232d=13988.50
- 2272c+3232d=14240
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.