Rachel pays $131.44 for a desk, including tax. The tax is 31 cents less than 1 16 the desk's price. What is the price for the desk before adding the tax?
Accepted Solution
A:
Answer:$ 124Step-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 = [tex]\frac{1}{16}x - 0.31[/tex] ( 1 dollar = 100 cents ⇒ 1 cent = 0.01 dollar ),Thus, the total amount paid = original price of desk + tax[tex]=x + \frac{1}{16}x - 0.31[/tex][tex]\implies x + \frac{1}{16}x - 0.31 = 131.44[/tex][tex]\frac{16x + x}{16}=131.44 + 0.31[/tex][tex]\frac{17x}{16}=131.75[/tex][tex]\implies x =\frac{131.75\times 16}{17}=7.75\times 16 = 124[/tex]Hence, the price of desk before tax would be $ 124.