There are 5 times as many yellow labs as terriers in the dog park. if there are a totsl of 18 dogs, how many dogs are terriers? how would I draw a model an d write a equation for this question

Question

Mathematics

Branden

14 April, 00:45

There are 5 times as many yellow labs as terriers in the dog park. if there are a totsl of 18 dogs, how many dogs are terriers? how would I draw a model an d write a equation for this question

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Thelma · Answer 1

So,

There are 5 times as many yellow labs (call them y) as terriers (call them t).

5t = y

There are 18 dogs total.

t + y = 18

Substitute 5t for y in the second equation.

t + 5t = 18

6t = 18

Divide both sides by 6.

t = 3

There are three terriers and 15 yellow labs.

So the system of equations would be:

5t = y

t + y = 18

As for the model, you can have a circle represent the number of terriers. Since there are 5 times as many yellow labs as terriers, you will have to have five more circles. Adding them up, you will have 6 of the circles, or 6 times circle. The total is 18, so 6 of the circles is 18. 6 times what is 18? 3. Therefore the circle, and therefore the number of terriers, is 3.