Question

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

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.