Paws at Play made a total of $1,234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.

Answer: No of Small Dogs = 13 and,

No of Large Dogs = 9

Step-by-step explanation:

Let us assume,

Small dogs = x and Large dogs = y

The total number of dogs is 22

So the first equation is x + y = 22

Total grooming sales = $1234

Cost to groom small dogs (x) = $43

Cost to groom large dogs (y) = $75

So the second equation is will be,

(43 * small dogs) + (75 * Large dogs) = $1234

i. e., 43x + 75y = 1234

To find the value of y, multiply the equation 1 with 43

i. e., 43x + 43y = 946

Now compare and subtract the above equation from equation 2

43x + 75y = 1234

43x + 43y = 946

32y = 288

y = 288 : 32

y = 9

Put the value of y in any equation to find the value of x

Putting the value of y = 9 in equation 1

x + y = 22

x + 9 = 22

x = 22 - 9

x = 13

Therefore, Small dogs = 13

Large dogs = 9