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.

Assume that a pair of boots costs dollars, this would mean that the shoes cost 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. . Expand the left hand side of the equation and add the like terms together. This causes the equation to look like . Subtract 15 from both sides to isolate the variable. . So now divide both sides to find what is. -> . This means that a pair of boots costs 23 dollars. 

59/96 is the ratio hope this not 100% sure though : /