90 CHAPTER 2 Linear Equations, Inequalities, and Applications
9.Atlanta and Cincinnati are 440 mi apart. John leaves Cincinnati, driving toward
Atlanta at an average rate of 60 mph. Pat leaves Atlanta at the same time, driving
toward Cincinnati in her antique auto, averaging 28 mph. How long will it take them
to meet?
15.Find the measure of each angle. 16.Find the measure of each marked angle.
17.The sum of the least and greatest of three consecutive integers is 32 more than the mid-
dle integer. What are the three integers?
18.If the lesser of two consecutive odd integers is doubled, the result is 7 more than the
greater of the two integers. Find the two integers.
19.The perimeter of a triangle is 34 in. The middle side is twice as long as the shortest
side. The longest side is 2 in. less than three times the shortest side. Find the lengths of
the three sides.
20.The perimeter of a rectangle is 43 in. more than the length. The width is 10 in. Find the
length of the rectangle.
(6x – 50)°
x° (x – 10)° (10x^ + 7)° (7x^ + 3)°
x inches
Pat
Atlanta
440 mi
Cincinnati
John
10.Deriba Merga from Ethiopia won the 2009 men’s Boston Marathon with a winning
time of 2 hr, 8 min, 42 sec, or 2.145 hr. The women’s race was won by Salina Kosgei
from Kenya, whose winning time was 2 hr, 32 min, 16 sec, or 2.538 hr. Kosgei’s aver-
age rate was 1.9 mph slower than Merga’s. Find the average rate for each runner, to the
nearest hundredth. (Source: World Almanac and Book of Facts.)
11.A pharmacist has 20 L of a 10% drug solution. How many liters of 5% solution must
be added to get a mixture that is 8%?
12.A certain metal is 20% tin. How many kilograms of this metal must be mixed with
80 kg of a metal that is 70% tin to get a metal that is 50% tin?
13.A cashier has a total of 126 bills in fives and tens. The total value of the money is $840.
How many of each denomination of bill does he have?
14.The top-grossing domestic movie in 2008 was The Dark Knight. On the opening
weekend, one theater showing this movie took in $20,520 by selling a total of 2460
tickets, some at $9 and the rest at $7. How many tickets were sold at each price?
(Source: Variety.)
