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?

Answer 1

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.