Ray has saved $576 to purchase a lap top computer. This amount is ¾ of the total price of the computer. What is the price of the computer without sales tax? If he has to pay a sales tax of 6%, what is the total cost of the computer? Show and Explain your work.

3/4 x=576

x=576 x 4/3=2304/3=$768 price of laptop. $768 x. 06 tax=46.08 add to 768=$814.08 for the total cost of the laptop

576=.75x ($576 is 75% of what?)

Divide both sides by. 75 to isolate x cancels out the. 75 on the side with the x

x=576/.75=768 cost of the computer without sales tax

To find it with sales tax:

First you multiply the cost by the tax rate to get the tax

768*.06=46.08 is the sales tax

Then you add the tax to the cost to get the total cost

768+46.08=814.08 is the price of the computer with sales tax

So your two answers are $768 without tax and $814.08 with tax.

Feel free to ask me any questions.