Neal buys a board game. He pays for the board game and pays \$1.54$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rate is 5.5\%5.5%5, point, 5, percent. What is the original price of the board game, before tax?

Respuesta :

Let us say the original price of game = $x

Now tax paid = $1.54

% of tax = 5.5%

Now we can say that 5.5 % of x is equal to 1.54, since tax paid is $1.54.

let us write an equation for it ,

[tex] (5.5/100) * x =1.54 [/tex]

[tex] 0.055 * x =1.54 [/tex]

dividing both sides by 0.055,

x= 28

Answer: original price of the board game before tax was $28.

Percentage is a way to describe a part of a whole. The original price of the board game that Neal has purchased is $28.

What is the percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

Given to us

Sales tax paid on board game = $1.54

Percentage sales tax that is been charged = 5.5%

As it is given that 5.5% of the original price of the board game is the tax that is equal to $1.54 on the original price of the board game.

Let the original price of the board game be x.

[tex]5.5\%\ of\ x = \$1.54\\\\0.055 \times x = 1.54\\\\x = 28[/tex]

Hence, the original price of the board game that Neal has purchased is $28.

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