Your friend buys a skateboard that is on sale for one third off the original price. Your friend spent $36 than the original price. What was the original price of the skateboard?

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Answer:

original price of skateboard = $54

Step-by-step explanation:

Let the original price of the skateboard be x

selling price = one third off the original price = $36

x - (1/3x) = 36

[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]

[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]

∴ x = 54

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