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Steph bought a used bicycle ,restored it and then marked it up by 1/4 of the price she paid. later, she sold it for the marked up price to $80 how much in dollars did steph pay for the bicycle?

Respuesta :

Answer:

$ 64

Step-by-step explanation:

Let Steph paid $x to buy the used bicycle.

After restoring, she marked it up by 1/4 of the price she paid.

So, the marked price [tex]= x +\frac 1 4 x = \frac {5x}{4}[/tex]

As she sold the bicycle for the marked up price to $80.

So, [tex]\frac {5x}{4} = 80[/tex]

[tex]\Rightarrow x = \frac {80\times 4}{5}\\\\\Rightarrow x = 64.[/tex]

Hence, she paid $ 64 for the bicycle.

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