Idil goes to a restaurant and the subtotal on the bill was x dollars. A tax of 8% is applied to the bill. Idil decides to leave a tip of 25% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Idil paid.Answer:
Q. Idil goes to a restaurant and the subtotal on the bill was x dollars. A tax of 8% is applied to the bill. Idil decides to leave a tip of 25% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Idil paid.Answer:
Calculate tax amount: Calculate the tax amount.We know:Subtotal = x dollarsTax rate = 8%Find the amount of the tax.Tax amount = x×0.08
Add to subtotal: Add the tax amount to the subtotal to get the total bill before the tip.Total bill before tip = Subtotal + Tax amountTotal bill before tip = x+(x×0.08)
Calculate tip amount: Calculate the tip amount.We know:Tip percentage = 25%The tip is calculated on the entire bill (including tax).Find the amount of the tip.Tip amount = Total bill before tip ×0.25Tip amount = (x+(x×0.08))×0.25
Add to total bill: Add the tip amount to the total bill before tip to get the total amount paid.Total amount paid = Total bill before tip + Tip amountTotal amount paid = (x+(x×0.08))+(x+(x×0.08))×0.25
Simplify total amount: Simplify the expression for the total amount paid.Total amount paid = x+0.08x+0.25x+0.02xTotal amount paid = x(1+0.08+0.25+0.02)Total amount paid = x(1.35)
More problems from Multi-step problems with percents