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.