At the pet fair, Darlene's dog weighted 5 times as much as Leah's dog. Together, the dogs weighed 84 pounds. How much did each dog weigh?

Question

Complete the bar graph model.  Write an equation and solve.

Answer 1

Hi Tangie,

 

You have to solve the following equations:

 

Let's define x --> Darlene's dog weight and y--> Leah's dog weight

 

Equation 1: x     = 5y

Equation 2: x+y = 84

 

Since x is equal to 5y in Equation 1, you can replace x in the Equation 2 by 5y. So, Equatoin 2 can be rewritten as

 

5y + y = 8y

6y = 84

y = 14

 

So, you find y is equal to 14 (Leah's dog weight). Then, x is equal to 5y, 5*14=70. So, x is equal to 70 (Darlene's dog weight.

 

Hope this helps.

 

 

 

 

Answer 2

let x = Darlene's dog's weight

let y = Leah's dog's weight

 

x = 5y

x + y = 84

 

so, 5y + y = 84, which means 6y = 84   so, y = 84/6 = 14

x = 5(14) = 70

    

Darlene's dog = 70 lbs, Leah's dog = 14 lbs.