Using percentages

SAT Math Tutorial

Using percentages

Intro

This is a sample SAT math problem, using percentages to add taxes and calculate prices.

Sample Problem

Question source

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights?

Solution

The hotel is $99.95/night, so if you are staying x nights:
The charge is (99.95)x without tax.

There is a tax of 8% applied to the room rate, so to add the tax to the price of the room, multiply the price of the room by a factor of 1.08.

Now the total cost is (1.08)(99.95x)

There is a onetime untaxed fee of $5.00, so we add 5 to the total

Finally total cost = 1.08(99.95x) + 5



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