Math Help - Stupidly simple, yet confusing (For me) sales problem

1. Stupidly simple, yet confusing (For me) sales problem

What is the difference, please explain..!!

A pair of shoes is normally priced at $37. What will be the sale price if a 25% sales discount is offered? I would assume i reduce$37 by 25%, i.e 37/1.25 = $29.60 However the answer is$37 x 0.75 = \$27.75.

What is the difference in arising to the two unique solutions?

2. Re: Stupidly simple, yet confusing (For me) sales problem

$37 - \frac{37}{1.25}=37-37\times\frac{1}{1.25} =37-37\times.8 \neq 37 - 37\times.25$

When you divide you want to divide by $x$ which is the same as multiplying by: $\frac{1}{x}=.25 \implies x=\frac{1}{.25}=4$

That dividing by four is really no surprise at all, because $25\% = \frac{1}{4}$