### Use Your Knowledge of English:

1. From the Problem write down all the Equivalent Relationships given or Unit Factors.    For example:
• 1 carat = 0.200 g
• 186,000 mi = 1 sec
• 1 minute = 60 sec
• 20 cig = 1 pack
2. Beware of our Tricks!
• We disguise numbers by making them words.
• We leave out obvious equivalent relationships, or relationships we think you should know.
• We stick extra information in the form of numbers and equivalent relationship you will not need to solve the problem 3. Formulate a road map which connects the unit of the given to the unit of the answer by equivalent relationships.

### _???__years avglife = 25 yearssmoking

• 365 days = 1 year
• 24 hours = 1 day
• 60 minutes = 1 hour
• 60 seconds = 1 minute
• 1 cig = 8 minutes avglife
• 20 cig = 1 pack
• 1 day smoking = 1.5 packs 4. To Start place the Given as a fraction. If a single dimension, put it over 1 5. Apply as many unit factors to the given, until the only unit left is the unit of the answer. This is word juggling ### Cancel the unit of numerator of the Given with the denominator of the unit of the first Unit Factor ### Apply another unit Factor if the uncanceled unit does not match the unit of the answer ### Continue the process until the Uncancelled unit matches the Unit of the Answer. ### Collect the terms and Calculate the Answer: Link to: Sample Test     Steps 1 and 2 Sample Test     Setup and Answer Sample Test

# Sample Problems

Problem 1
If the sun is 93,000,000 miles from the Earth, how many kilometers is the distance?
(Given: One mile equals 1.61 kilometers.)

Problem 2
If the sun is 93,000,000 miles from the Earth, how many minutes does it take for sunlight to reach the Earth? (Given: The velocity of light is 186,000 miles per second.)

Problem 3
Find the mass in grains of a 325 milligram aspirin tablet.
(Given: 1.00 g = 15.4 grains)

Problem 4
Insurance statistics state that a person loses 8 minutes of average life for each cigarette smoked. If there are 20 cigarettes in a pack and the average cost of cigarette is \$5.00 per pack over the next 25 years, how many years of average life
would a person lose for smoking 1.5 packs a day for 25 years?

Problem 5
What is the density of water in lb/ft3, if the density of water at 25oC is 1.00 g/ml?
[Hint: There are 2.54 cm = 1 in (or 16.48 cm3 = 1 in3); 454 g = 1 lb ]

Problem 6
Calculate the velocity of a car traveling car traveling 65 miles/hr in ft/sec.

Problem 7
How many milligrams does a 0.750 carat diamond weigh?
(Hint: 1 carat = 0.200 g)

Problem 8
Diamond has a density of 3.513 g/cm3. The mass of a diamond is often measured in carats, 1 carat equaling 0.200 g. What is the volume of a 1.50 carat diamond?

Problem 9
Liquor used to be sold in fifths. A fifth is one fifth of a gallon. A gallon is 128 fluid ounces. Today liquor is sold in bottle sizes of 750 ml to equate to the old fifth. If there are 946 ml in a quart, calculate the number of milliliters in a fifth. How many milliliters difference is there in the bottling?

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