SECTION 2.4 An Introduction to Applications of Linear Equations^117
19.In the 2008–2009 NBA regular season, the Boston Celtics won two more than three times
as many games as they lost. The Celtics played 82 games. How many wins and losses did
the team have? (Source:www.NBA.com)
20.In the 2008 regular baseball season, the Tampa Bay Rays won 33 fewer than twice as
many games as they lost. They played 162 regular-season games. How many wins and
losses did the team have? (Source:www.MLB.com)
21.A one-cup serving of orange juice contains 3 mg less than
four times the amount of vitamin C as a one-cup serving
of pineapple juice. Servings of the two juices contain a
total of 122 mg of vitamin C. How many milligrams of
vitamin C are in a serving of each type of juice? (Source:
U.S. Agriculture Department.)
22.A one-cup serving of pineapple juice has 9 more than
three times as many calories as a one-cup serving of
tomato juice. Servings of the two juices contain a total of
173 calories. How many calories are in a serving of each
type of juice? (Source:U.S. Agriculture Department.)Solve each problem. See Examples 3 and 4.
23.In one day, a store sold as many DVDs as CDs. The total number of DVDs and CDs sold
that day was 273. How many DVDs were sold?
24.A workout that combines weight training and aerobics burns a total of 374 calories. If
doing aerobics burns as many calories as weight training, how many calories does each
activity burn?
25.The world’s largest taco contained approximately 1 kg of onion for every 6.6 kg of grilled
steak. The total weight of these two ingredients was 617.6 kg. To the nearest tenth of a
kilogram, how many kilograms of each ingredient were used to make the taco? (Source:
Guinness World Records.)
26.As of 2005, the combined population of China and India was estimated at 2.4 billion. If
there were about 0.8 as many people living in India as China, what was the population of
each country, to the nearest tenth of a billion? (Source:U.S. Census Bureau.)
27.The value of a “Mint State-63” (uncirculated) 1950 Jefferson nickel minted at Denver is
twice the value of a 1945 nickel in similar condition minted at Philadelphia. Together, the
total value of the two coins is $24.00. What is the value of each coin? (Source:Yeoman, R.,
A Guide Book of United States Coins,62nd edition, 2009.)
28.U.S. five-cent coins are made from a combination of two metals: nickel and copper. For
every 1 pound of nickel, 3 lb of copper are used. How many pounds of copper would be
needed to make 560 lb of five-cent coins? (Source:The United States Mint.)
29.A recipe for whole-grain bread calls for 1 oz of rye flour for every 4 oz of whole-wheat
flour. How many ounces of each kind of flour should be used to make a loaf of bread
weighing 32 oz?
30.A medication contains 9 mg of active ingredients for every 1 mg of inert ingredients.
How much of each kind of ingredient would be contained in a single 250-mg caplet?Solve each problem. See Example 5.
31.An office manager booked 55 airline tickets, divided among three airlines. He booked 7
more tickets on American Airlines than United Airlines. On Southwest Airlines, he
booked 4 more than twice as many tickets as on United. How many tickets did he book
on each airline?12
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