Question 684181

Hi :)

I've been working on this question for a few hours but nothing seems right:

You buy a toy for $x and sell it for $19.24. You incur a loss of x%. Find x.

I think I have to make a trinomial but I can't seem to get the first few steps right.

Thanks for your help!


Since it was purchased for $x, then loss = $(x - 19.24)
Since loss = x – 19.24, then loss %, or x% = {{{(x - 19.24)/x}}} ---- {{{x/100 = (x - 19.24)/x}}}
{{{x^2 = 100(x - 19.24)}}} ------ Cross-multiplying
{{{x^2 = 100x - 1924}}}
{{{x^2 - 100x + 1924 = 0}}}
(x – 26)(x – 74) = 0 ------- Factoring the trinomial


x, or cost of toy = ${{{highlight_green(26)}}}, and a loss of x%, or {{{highlight_green(26)}}}% was incurred on the sale of the toy for $19.24  


OR


x, or cost of toy = ${{{highlight_green(74)}}}, and a loss of x%, or {{{highlight_green(74)}}}% was incurred on the sale of the toy for $19.24  


You can do the check!!


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