Answer:
$2.25 price with per coffee without tax
Step-by-step 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.
