Question

Rachel pays $131.44 for a desk including tax. The taxis 31 cents less than 1/6 the desk price. What is the price for the desk before adding the tax? A.) $116.00 B.)$118.00 C.)$122.00 D.)$124.00 i need you guys help~!!

Answer 1

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The first sentence tells you that the cost of the desk plus the tax equals $131.44. In

equation form this is:

D + T = 131.44

The second sentence tells you that the tax T equals (1/16) times the cost of the desk less 0.31 dollars.

In equation form this is

T = (1/16)D - 0.31

Substitute the right side of this equation for T into the first equation for the total price and the first equation becomes:

D + (1/16)D - 0.31 = 131.44

Get rid of the -0.31 on the left side by adding 0.31 to both sides to get:

D + (1/16)D = 131.75

Since D is equivalent to (16/16)D you can substitute that for D and you get:

(16/16)D + (1/16)D = 131.75

The sum of the two terms on the left side is:

(17/16)D = 131.76

You can solve this equation for D by either dividing both sides by (17/16) or by multiplying

both sides by (16/17). In either case you get:

D = (16/17)*131.75

= (16*131.75)/17

Calculator time. 16 times 131.75 = 2108 and dividing that product by 17 gives and answer of:

D = $124.

That's the answer. The cost of the desk was $124.00

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