47.A wholesaler supplies college T-shirts
to three college bookstores: A, B, and
C. The wholesaler recently shipped a
total of 800 T-shirts to the three book-
stores. In order to meet student demand
at the three colleges, twice as many
T-shirts were shipped to bookstore B as
to bookstore A, and the number shipped
to bookstore C was 40 less than the sum
of the numbers shipped to the other two
bookstores. How many T-shirts were
shipped to each bookstore?
48.An office supply store sells three models of computer desks: A, B, and C. In January, the
store sold a total of 85 computer desks. The number of model B desks was five more than
the number of model C desks, and the number of model A desks was four more than twice
the number of model C desks. How many of each model did the store sell in January?
49.A plant food is to be made from three chemicals. The mix must include 60% of the first
and second chemicals. The second and third chemicals must be in the ratio of 4 to 3 by
weight. How much of each chemical is needed to make 750 kg of the plant food?
50.How many ounces of 5% hydrochloric acid, 20% hydrochloric acid, and water must be
combined to get 10 oz of solution that is 8.5% hydrochloric acid if the amount of water
used must equal the total amount of the other two solutions?Starting with the 2005 – 2006 season, the National Hockey League adopted a new system for
awarding points used to determine team standings. A team is awarded 2 points for a win ,
0 points for a loss in regulation play ,and 1 point for an overtime loss .Use this
information in Exercises 51 and 52.
51.During the 2008 – 2009 NHL regular
season, the Boston Bruins played
82 games. Their wins and overtime
losses resulted in a total of 116 points.
They had 9 more losses in regulation
play than overtime losses. How many
wins, losses, and overtime losses did
they have that year?1 L 2 1 OTL 2
1 W 2
246 CHAPTER 4 Systems of Linear Equations
Team GP W L OTL PointsBoston (^82) —— —— —— 116
Montreal 82 41 30 11 93
Buffalo 82 41 32 9 91
Ottawa 82 36 35 11 83
Toronto 82 34 35 13 81
Source: World Almanac and Book of Facts.
Team GP W L OTL Points
San Jose 82 53 18 11 117
Anaheim 82 42 33 7 91
Dallas 82 36 35 11 83
Phoenix 82 36 39 7 79
Los Angeles (^82) —— —— —— 79
Source: World Almanac and Book of Facts.
52.During the 2008 – 2009 NHL regular
season, the Los Angeles Kings played
82 games. Their wins and overtime
losses resulted in a total of 79 points.
They had 14 more total losses (in reg-
ulation play and overtime) than wins.
How many wins, losses, and overtime
losses did they have that year?
Give (a)the additive inverse and (b)the multiplicative inverse (reciprocal) of each number.
See Sections 1.1 and 1.2.
- 54.0.2 55. 56.2.25