Beginning Algebra, 11th Edition

SECTION 4.4 Applications of Linear Systems^279

23.Two of the top-grossing North American

concert tours in 2008 were The Police

and Madonna. Based on average ticket

prices, it cost a total of $1297 to buy six

tickets for The Police and five tickets to

a Madonna concert. Three tickets for

The Police and four tickets for Madonna

cost a total of $854. How much did an

average ticket cost for each tour?

(Source:www.CNBC.com)

24.Two other top-grossing North American

concert tours in 2008 were Celine Dion

and Kenny Chesney. Based on average

ticket prices, it cost a total of $1203 to

buy eight tickets for Celine Dion and

three tickets for a Kenny Chesney con-

cert. Four tickets for Celine Dion and five

tickets for Kenny Chesney cost $857.

How much did an average ticket cost for

each tour? (Source:www.CNBC.com)

Liters of Percent (as Liters of

Solution a decimal) Pure Dye

x 0.40

y 0.70

120 0.50

Liters of Percent (as Liters of

Solution a decimal) Pure Antifreeze

x 0.90

y 0.75

120 0.78

Dollars

Pounds per Pound Cost

x

y 1.80

45

Dollars

Pounds per Pound Cost

x 6

y

90

Write a system of equations for each problem, and then solve the system. See Example 3.

25.A 40% dye solution is to be mixed with

a 70% dye solution to get 120 L of a

50% solution. How many liters of the

40% and 70% solutions will be needed?

26.A 90% antifreeze solution is to be mixed

with a 75% solution to make 120 L of a

78% solution. How many liters of the

90% and 75% solutions will be used?

27.Deoraj Bharath wishes to mix coffee worth

$6 per lb with coffee worth $3 per lb to

get 90 lb of a mixture worth $4 per lb.

How many pounds of the $6 and the

$3 coffees will be needed?

28.Andrea Mendelsohn wishes to blend

candy selling for $1.20 per lb with

candy selling for $1.80 per lb to get a

mixture that will be sold for $1.40 per lb.

How many pounds of the $1.20 and the

$1.80 candies should be used to get 45 lb

of the mixture?

29.How many pounds of nuts selling for $6 per lb and raisins selling for $3 per lb should

Theresa Rebello combine to obtain 60 lb of a trail mix selling for $5 per lb?

22.Glenmore Wiggan invested some money in two accounts, one paying 3% annual simple

interest and the other paying 2% interest. He earned a total of $11 interest. If he invested

three times as much in the 3% account as he did in the 2% account, how much did he in-

vest at each rate?