Question

Carlton bought a pair of jeans and running shoes .he spent a total of $86 .if the jeans cost $22 less than the running shoes, how much did the running shoes cost

Answer 1

Let's call x the cost of the jeans, and y the cost of the running shoes.

As the cost of both is $86, then:

$x+y=86\text{ Equation (1)}$

Also, the jeans cost $22 less than the running shoes, therefore:

$x=y-22\text{ Equation (2)}$

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

$\begin{gathered} y-22+y=86 \\ 2y-22=86 \\ 2y=86+22 \\ 2y=108 \\ y=\frac{108}{2} \\ y=54 \end{gathered}$

Now, replace y into equation 2 and find x:

$\begin{gathered} x=54-22 \\ x=32 \end{gathered}$

As x=32 and y=54, thus:

The jeans cost $32 and the running shoes cost $54.