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#### A plane left San Francisco at 6:15 pm PST and arrived in Philadelphia at 2:45 am EST. How long was the flight?

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First, convert 6:15 PST to 9:15 EST. The flight then took from 9:15 pm EST to 2:45 am EST. That means that the flight took 5 1/2 hours

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#### A product originally costs \$125. If the product goes on sale for 20% off, and then goes on sale for an additional 30% off, what is the price of the product?

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You need to apply the discounts successively not just add the discounts. So \$125 x 80% = \$100 (price after original 20% discount). \$100 x 70% = \$70 the price after the 2nd 30% discount.

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2 1/2 x 60 = 150

#### A toll is \$2 for a car and the driver and 75 cent for each additional passenger. If the toll comes to \$4.25, how many total people are in the car?

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The toll of \$4.25 includes \$2 for the driver/car. So \$2.25 (\$4.25-\$2) is left for the passengers. \$2.25/0.75 = 3 passengers, so the total amount of people in the car is 1 driver and 3 passengers.

#### If you pay \$22.90 for a DVD that includes a 7% sales tax, what is the price of the DVD before the sales tax?

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If y represents the price of the DVD before the tax. Then price with tax would be y + 0.07y = \$22.90. Therefore 1.07y=22.90, or y= 22.90/1.07=\$21.40. Be careful not to just take 7% of \$22.90 and subtract. That is incorrect.

#### A stack of bricks is 3 1/2 feet high. If each brick is 1 3/4 inches high, how many bricks are in the stack?

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3 1/2 feet x 12 in/ft= 42 inches. 42 inches/1.75 inches = 24 bricks

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#### Carpet costs \$3 per square yard. The room that will be carpeted is 12 feet x 18 feet. How much will the carpet cost?

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12 feet x 18 feet is equivalent to 4 yards x 6 yards = 24 sq yards. 24 square yards x \$3/sq yard = \$72. Remember 3 feet = 1 yard, but 9 sq feet = 1 sq yard.

#### A car has a 15 gallon gas tank. If a car gets 32 miles per gallon and travels 384 miles, how much gas will be left in the tank?

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The car will have used 12 gallons (384 miles/32 gallons). Therefore, there will be 3 gallons left in the tank (15 gallons - 3 gallons)

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#### A book regularly sells for \$28. If the book is on sale for "20% off", how much is the sales price of the book?

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20% of \$28 = 28x0.2=\$5.60. The sales price is then \$28-\$5.6 = \$22.40

#### A man's hourly wage increased from \$12.50 to \$13.50. What percent raise did he get?

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To find the percent of increase, subtract the second number from the original/first number (13.5-12.5=1.0) and divide that result by the original number (1/12.5=0.08=8%)