Question

At the annual dog show, Chantel noticed that there were three more Scotties than Schnauzers. She also realized that the number of Wirehaired Terriers was five less than twice the number of Schnauzers. If there were 78 dogs in all (counting Schnauzers, Scotties, and Wirehaired Terriers), how many Schnauzers were there? Write and solve an equation.

I am so confused by this question??

Answer 1

To find the number of Schnauzers at the dog show, an equation was formed using the relationships between the different breeds and the total number of dogs. Upon simplifying the equation, it was determined that there were 20 Schnauzers present at the show.

Step-by-step explanation:

The student's question involves creating and solving an equation to find the number of Schnauzers at a dog show, given certain conditions about the total number of dogs and the relationships between the numbers of different breeds present.

Let's define the following variables:

• Let S be the number of Schnauzers.
• Let Sc be the number of Scotties, which is three more than the number of Schnauzers (Sc = S + 3).
• Let W be the number of Wirehaired Terriers, which is five less than twice the number of Schnauzers (W = 2S - 5).

According to the information provided, the total number of dogs is 78, so we can write the equation as:

S + Sc + W = 78

Substituting the expressions for Sc and W in terms of S:

S + (S + 3) + (2S - 5) = 78

Combining like terms:

4S - 2 = 78

Adding 2 to both sides:

4S = 80

Dividing both sides by 4:

S = 20

Therefore, there were 20 Schnauzers at the dog show.

Answer 2

Let us assume the number of Schnauzers at the annual dog show = x
Then
Number of Scotties in the annual dog show = x + 3
Number of Wirehaired Terriers in the annual dog show = 2x - 5
Total number of dogs in the annual dog show = 78
Then the equation can be written as
x + x + 3 + 2x - 5 = 78
4x - 2 = 78
4x = 78 + 2
4x = 80
x = 80/4
= 20
So there are 20 Schnauzers in the annual dog show. I hope the procedure is clear enough for you to understand. It is important to read the question carefully and then solving the problem would be easy.