trivers9635 trivers9635
  • 05-03-2019
  • Mathematics
contestada

A t-shirt increased in price by 1/4 . After the increase it was priced at ?85. What was the original price of the t-shirt?

Respuesta :

jdoe0001 jdoe0001
  • 05-03-2019

so, a whole is 1. or 1/1 or 500/500 and so on.

the original price of this t-shirt was a whole price namely, 4/4.

the new price is 1/4 more than that, 4/4 + 1/4 = 5/4, and we know that's $85.

let's say "x" is the whole price, thus

[tex]\bf \begin{array}{ccll} price&fraction\\ \cline{1-2}\\ 85&\frac{5}{4}\\\\ x&\frac{4}{4} \end{array}\implies \cfrac{85}{x}=\cfrac{~~\frac{5}{4}~~}{\frac{4}{4}}\implies \cfrac{85}{x}=\cfrac{~~\frac{5}{4}~~}{1}\implies \cfrac{85}{x}=\cfrac{5}{4} \\\\\\ 340=5x\implies \cfrac{340}{5}=x\implies 68=x[/tex]

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