Question

Tax and tip word problems You might need: Calculator Problem 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

$28

Explanation:

SO,

5.5% OF SOME NUMBER is 1.54 dollars. Right?? Yes!

SOME NUMBER is what we are looking for, that is the ORIGINAL PRICE OF THE BOARD GAME.

We can let original price [some number] be "x" and write the word equation as algebraic equation shown below:

`0.055*x=1.54`

Note: 5.5% = 5.5/100 = 0.055

Now, we just simpyl solve for x:

`0.055*x=1.54\\x=(1.54)/(0.055)\\x=28`

$28 is the original price