Question

Susan dog's buster and Sammi together weigh 112 pound Sammi weigh 8 pounds more than buster how much does each dog weight

Answer 1

Let's x be the Sammi's weight and y Buster's weight.

Then, as Buster and Sammi together weigh 112 pounds, then:

$x+y=120\text{ Equation (1)}$

Also, Sammi weighs 8 pounds more than Buster, then:

$x=y+8\text{ Equation (2)}$

Now, replace equation (2) into equation (1) and solve for y:

$\begin{gathered} y+8+y=120 \\ 2y+8=120 \\ 2y=120-8 \\ 2y=112 \\ y=\frac{112}{2} \\ y=56 \end{gathered}$

And replace the y-value into equation 2 to find x:

$x=56+8=64$

As x=64 and y=56, therefor Sammi weighs 64 pounds and Buster weighs 56 pounds.