Question

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

Answer 1

$2.25 price with per coffee without tax

Explanation:

3 cups of coffee = $7.29 (with tax)

tax = 8% = 8/100 = 0.08 (NOTE: % means 1/100)

Total amount = a

Price for 3 cups without tax = p

tax of price for coffee = t

8% tax with coffee = p+p*0.08

How does the equation work, for example:

p = 10

p*0.08 = 0.8

p+p*0.08 = 10+0.8= 10.8 // price with tax

a = p + t

7.29 = p + 0.08p //Combine like terms

7.29 = 1.08p //Divide both sides by 1.08

7.29/1.08 = p

6.75 = p //Price of all 3 coffee without tax

6.75 = 3p //Finding price of 1 coffee without tax

6.75/3 = p

2.25 = p

Now finding total amount of per coffee with tax:

a = p + t

a = 2.25 + 2.25*0.08

a = 2.25 + 0.18

a = 2.43

Checking:

a = 2.43 //Price of per coffee with tax

a = 3(2.43) = 7.29 // Price of all 3 coffee with tax

//Hope it helps and it's right.