Question

There are 50 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?

Answer 1

There are 43 small dogs signed up in the competition

How to determine the number of small dogs?

Represent the small dogs with x and the large dogs with y.

So, we have the following equations

x + y = 50

x = 36 + y

Make y the subject in x = 36 + y

y = x - 36

Substitute y = x - 36 in x + y = 50

x + x - 36 = 50

Evaluate the like terms

2x = 86

Divide both sides by 2

x = 43

Hence, there are 43 small dogs in the competition

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