Question

6
a veterinarian examined twice as many cats (x) as dogs (y). she examined a total of 30 cats and dogs. how many of each animal did she see?
x = 2y （cats are equal to twice the number of dogs）
x + y = 30 （the total number of cats and dogs is 30）
the veterinarian saw
□ cats and
□ dogs.

Explanation:

Step1: Substitute x into total equation

Substitute $x=2y$ into $x+y=30$:
$2y + y = 30$

Step2: Solve for y

Combine like terms and isolate y:
$3y = 30$
$y = \frac{30}{3} = 10$

Step3: Solve for x

Substitute $y=10$ into $x=2y$:
$x = 2\times10 = 20$

Answer:

20 cats and 10 dogs