3.Venus and Serena measured a tennis court and found
that it was 42 ft longer than it was wide and had a
perimeter of 228 ft. What were the length and the
width of the tennis court?SECTION 4.3 Applications of Systems of Linear Equations 241
Team W L
L.A. Dodgers —— ——
Colorado 92 70
San Francisco 88 74
San Diego 75 87
Arizona —— ——
Source: World Almanac and Book
of Facts.4.LeBron and Shaq measured a basketball court and
found that the width of the court was 44 ft less than the
length. If the perimeter was 288 ft, what were the
length and the width of the basketball court?5.In 2009, the two American telecommunication companies with the greatest revenues
were AT&T and Verizon. The two companies had combined revenues of $221.4 billion.
AT&T’s revenue was $26.6 more than that of Verizon. What was the revenue for each
company? (Source: Fortunemagazine.)
6.In 2008, U.S. exports to Canada were $110 billion more than exports to Mexico. Together,
exports to these two countries totaled $412 billion. How much were exports to each coun-
try? (Source:U.S. Census Bureau.)In Exercises 7 and 8, find the measures of the angles marked x and y. Remember that (1)the
sum of the measures of the angles of a triangle is 180°,(2)supplementary angles have a sum
of 180°,and (3)vertical angles have equal measures.y°x°(3x + 10)°x°
(x – 20)° y°The Fan Cost Index (FCI) represents the cost of
four average-price tickets, four small soft drinks,
two small beers, four hot dogs, parking for one car,
two game programs, and two souvenir caps to a
sporting event. (Source: Team Marketing Report.)
Use the concept of FCI in Exercises 9 and 10.
See Example 2.
9.For the 2008–2009 season, the FCI prices for
the National Hockey League and the National
Basketball Association totaled $580.16. The
hockey FCI was $3.70 less than that of basketball. What were the FCIs for these sports?Complete solution available
on the Video Resources on DVD
4.3 EXERCISES
Solve each problem. See Example 1.
1.During the 2009 Major League Baseball season, the
Los Angeles Dodgers played 162 games. They won
28 more games than they lost. What was their win-loss
record that year?
2.Refer to Exercise 1.During the same 162-game season,
the Arizona Diamondbacks lost 22 more games than
they won. What was the team’s win-loss record?