Question

Luigi purchased three pairs of shoes and two pairs of boots for $130. If a pair of boots is five dollars less than the price of a pair of shoes, determine the price of a pair of boots.

Answer 1

Assume that a pair of boots costs
`x` dollars, this would mean that the shoes cost
`x+5` dollars. From the question, you also know that 3 pairs of shoes and 2 pairs of boots cost $130, so substitute the variables of prices into an equation.
`2x+3(x+5)=130`. Expand the left hand side of the equation and add the like terms together. This causes the equation to look like
`5x+15=130`. Subtract 15 from both sides to isolate the variable.
`5x=115`. So now divide both sides to find what
`x` is.
`(5x)/(5)=(115)/(5)` ->
`x=23`. This means that a pair of boots costs 23 dollars.