Answer:
3 dogs and 2 cats.
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: number of cats
let y: number of dogs
So:
42.5 * x + 64 * y = 277
35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5
Replacing, we are left with that:
42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277
266.37- 60.45 * y + 64 * y = 277
64 * y - 60.45 * y = 277 - 266.37
3.55 * y = 10.63
y = 10.63 / 3.55
y = 2.99, about 3
Now to calculate x:
x = (222.5 - 50.5 * 3) /35.5
x = 2
Which means that it has a total of 3 dogs and 2 cats.
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.
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.
