Work each problem involving monetary values. See Example 4.
148 CHAPTER 2 Linear Equations and Inequalities in One Variable
27.A coin collector has $1.70 in dimes and nickels. She has two more dimes than nickels.
How many nickels does she have?
28.A bank teller has $725 in $5 bills and $20 bills. The teller has five more twenties than
fives. How many $5 bills does the teller have?
29.In May 2009, U.S. first-class mail rates increased to 44 cents for the first ounce, plus
17 cents for each additional ounce. If Sabrina spent $14.40 for a total of 45 stamps of
these two denominations, how many stamps of each denomination did she buy? (Source:
U.S. Postal Service.)
30.A movie theater has two ticket prices: $8 for adults and $5 for children. If the box office took
in $4116 from the sale of 600 tickets, how many tickets of each kind were sold?
31.Harriet Amato operates a coffee shop. One of her customers wants to buy two kinds of
beans: Arabian Mocha and Colombian Decaf. If she wants twice as much Mocha as
Colombian Decaf, how much of each can she buy for a total of $87.50? (Prices are listed
on the sign.)
Number Total
of Coins Denomination Value
x 0.05 0.05x
0.10
Number Total
of Bills Denomination Value
x 5
x+ 5 20
Arabian Mocha $ 8.50/lb
Chocolate Mint $10.50/lb
Colombian Decaf $ 8.00/lb
French Roast $ 7.50/lb
Guatemalan Spice $ 9.50/lb
Hazelnut Decaf $10.00/lb
Italian Espresso $ 9.00/lb
Kona Deluxe $11.50/lb
32.Harriet’s Special Blend contains a combination of French Roast and Kona Deluxe beans.
How many pounds of Kona Deluxe should she mix with 12 lb of French Roast to get a
blend to be sold for $10 a pound?
Solve each problem involving distance, rate, and time. See Example 5.
33.Concept Check Which choice is the best estimate for the average rate of a bus trip of
405 mi that lasted 8.2 hr?
A.50 mph B.30 mph C.60 mph D.40 mph
34.Suppose that an automobile averages 45 mph and travels for 30 min. Is the distance
traveled mi? If not, explain why not, and give the correct distance.
35.A driver averaged 53 mph and took 10 hr to travel from Memphis to Chicago. What is the
distance between Memphis and Chicago?
36.A small plane traveled from Warsaw to Rome, averaging 164 mph. The trip took 2 hr.
What is the distance from Warsaw to Rome?
45 * 30 = 1350
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