SP2. In the United States a common quantity of hard liquor was historically a fifth, which represents a fifth of a U.S. gallon. However, because the U.S. wants to market its alcohol globally, and everyone else uses the metric system, it has retooled its packaging, so a common quantity is now 750 mL. a. How many liters are in a fifth? b. How many milliliters are in a fifth? c. Which is larger, 750 mL or a fifth of a gallon?
SP2. In the United States a common quantity of hard liquor was historically a fifth, which represents a fifth of a U.S. gallon. However, because the U.S. wants to market its alcohol globally, and everyone else uses the metric system, it has retooled its packaging, so a common quantity is now 750 mL. a. How many liters are in a fifth? b. How many milliliters are in a fifth? c. Which is larger, 750 mL or a fifth of a gallon?
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#### Problem Set:
**E1.** Suppose that a pancake recipe designed to feed five people calls for 310 grams of flour. How many grams of flour would you use if you wanted to reduce the recipe to only feed two people? (Answer: 124g)
**E2.** Suppose that a cupcake recipe designed to produce 16 cupcakes calls for 240 grams of flour. How many grams of flour would you use if you wanted to make 20 cupcakes? (Answer: 300g)
**E3.** It is estimated that eight medium pizzas are about right to serve a physics club meeting of 32 students. How many pizzas would be required if the group, due to a conflicting math club meeting, was only going to have 20 students in attendance? (Answer: 5)
**E4.** A child uses her hand to measure the width of a tabletop. If her hand has a width of 8 cm at its widest point, and she finds the tabletop to be 16.5 hands wide, what is the width of the tabletop in cm? In meters?
- (Answer: 132 cm or 1.32m)
**E11.** Area is found by multiplying the length of a surface times the width. If a floor measures 5.28 m², how many square centimeters does this represent? How many square centimeters are there in 1 m²? (Answer: 52,800 cm²; 10,000 cm² in 1 m²)
**E12.** A common speed limit in Vancouver, British Columbia, is 70 km/hr. If you are going 45 MPH, are you speeding? Show by converting 45 MPH to km/hr using the conversion factors. (Answer: 72 km/hr, Yes, you are speeding)
**E13.** If gas costs $1.27 a liter, how much does a gallon of gas cost? Show by converting gallons to liters using the conversion factors in Appendix E. (Answer: $4.81)
**E14.** The volume of a cube is found by multiplying length times width times height. If an object has a volume of 1.44 m³, what is the volume in cubic centimeters? Remember to multiply each side by the conversion factor. (Answer: 1,440,000 cm³)
**SP2.** In the United States a common
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