Q:

Mr. Yarmus purchased 3 cups of coffee for his friends. He paid $7.29 in yoyal, including and 8 percent sales tax. What was the cost per cup of coffee, excluding tax??? PLZZ I will give you 100 points

Accepted Solution

A:
Answer:$2.25 price with per coffee without taxStep-by-step explanation: 3 cups of coffee = $7.29 (with tax)tax = 8% = 8/100 = 0.08 (NOTE: % means 1/100)Total amount = aPrice for 3 cups without tax = ptax of price for coffee = t8% tax with coffee = p+p*0.08How does the equation work, for example:p = 10p*0.08 = 0.8p+p*0.08 = 10+0.8= 10.8 // price with taxa = p + t7.29 = p + 0.08p //Combine like terms7.29 = 1.08p //Divide both sides by 1.087.29/1.08 = p6.75 = p //Price of all 3 coffee without tax6.75 = 3p //Finding price of 1 coffee without tax6.75/3 = p2.25 = pNow finding total amount of per coffee with tax:a = p + ta = 2.25 + 2.25*0.08a = 2.25 + 0.18a = 2.43Checking: a = 2.43 //Price of per coffee with taxa = 3(2.43) = 7.29 // Price of all 3 coffee with tax//Hope it helps and it's right.