Rachel pays $131.44 for a desk, including tax. The tax is 31 cents less than 1 16 the desk’s price. What is the price for the desk before ad

Question

Rachel pays $131.44 for a desk, including tax. The tax is 31 cents less than 1 16 the desk’s price. What is the price for the desk before adding the tax?

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Isabelle 20 hours 2021-10-12T12:39:38+00:00 1 Answer 0

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    2021-10-12T12:40:51+00:00

    Answer:

    $ 124

    Step-by-step explanation:

    Given,

    The total paid amount = $ 131.44,

    Let x be the original price of desk ( in dollars ),

    ∵ The tax is 31 cents less than 1/16 the desk price.

    So, tax = \frac{1}{16}x - 0.31   ( 1 dollar = 100 cents ⇒ 1 cent = 0.01 dollar ),

    Thus, the total amount paid = original price of desk + tax

    =x + \frac{1}{16}x - 0.31

    \implies x + \frac{1}{16}x - 0.31 = 131.44

    \frac{16x + x}{16}=131.44 + 0.31

    \frac{17x}{16}=131.75

    \implies x =\frac{131.75\times 16}{17}=7.75\times 16 = 124

    Hence, the price of desk before tax would be $ 124.

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