Question

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? \$\

Answer 1

The original price of the board game before tax was $28

Explanation:

First of all you should determine an unknown variable "x" m which in this case is the price of the game.

You know, because you have it in the statement, that the tax paid is $ 1.54, and that price is 5.5% of the original game price. Then you can write the following equation:

5.5%*x=$1.54

Remember that to convert a percentage to a decimal, you must divide the percentage value by 100 (the percentage represents a fraction in which a total is divided into one hundred parts). So:

`(5.5)/(100) =0.055`

Returning to the equation, it is expressed as follows:

0.055*x=1.54

By dividing on both sides by 0.055, to isolate the value of x, you get:

x=28

So, the original price of the board game before tax was $28

Answer 2

$1.46

Explanation:

To find the original price of the game, write a proportion. $1.54 is the amount after a 5.5% tax rate. This means he paid 105.5% on the original price.

`(1.54)/(y)=(105.5)/(100)`

Find y by cross multiplying numerator and denominator of each fraction.

1.54(100) = 105.5y

154 = 105.5y

1.46 = y