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
