Basic Mathematics for College Students

122 Chapter 1 Whole Numbers

76. Estimate the quotient:


77. TREATS If 745 candies are distributed equally
    among 45 children, how many will each child
    receive? How many candies will be left over?

210,999 53 78. PURCHASING A county received an $850,000

grant to purchase some new police patrol cars. If a

fully equipped patrol car costs $25,000, how many can

the county purchase with the grant money?

SECTION 1.6 Problem Solving

To become a good problem solver, you need a

plan to follow, such as the following five-step

strategy for problem solving:

1. Analyze the problemby reading it
   carefully. What information is given?
   What are you asked to find? What
   vocabulary is given? Often, a diagramor
   tablewill help you visualize the facts of
   the problem.


2. Form a planby translating the words of
   the problem into numbers and symbols.


3. Solve the problem by performing the
   calculations.


4. State the conclusionclearly. Be sure to
   include the units in your answer.


5. Check the result.An estimate is often
   helpful to see whether an answer is
   reasonable.

DEFINITIONS AND CONCEPTS EXAMPLES

CEO PAY A recent report claimed that in 2007 the top chief

executive officers of large U.S. companies averaged 364 times more in

pay than the average U.S. worker. If the average U.S. worker was paid

$30,000 a year, what was the pay of a top CEO? (Source:

moneycentral.msn.com)

Analyze

• Top CEOs were paid 364 times more than the
  average worker Given


• An average worker was paid $30,000 a year. Given


• What was the pay of a top CEO in 2007? Find
  Form Translate the words of the problem to numbers and symbols.

was equal to times

364 30,000

SolveUse a shortcut to perform this multiplication.

Multiply Attach

364 and 3 four 0’s

to get 1092. after 1092.

 

364 30,00010,920,000

 

The pay of a top

CEO in 2007

the pay of

the average

U.S. worker.

364

The pay of a top

CEO in 2007

REVIEW EXERCISES

3

1

6

1

4

 3

1092

StateIn 2007, the annual pay of a top CEO was $10,920,000.

CheckUse front-end rounding to estimate the product: 364 is

approximately 400.

Since the estimate, $12,000,000, and the result, $10,920,000, are close,

the result seems reasonable.

400  30 , 000 12, 000 , 000

79. SAUSAGE To make smoked sausage, the
    sausage is first dried at a temperature of F. Then
    the temperature is raised to smoke the meat.
    The temperature is raised another to cook the
    meat. In the last stage, the temperature is raised
    another What is the final temperature in the
    process?

15°.

20°

20°

130°

80. DRIVE-INS The high figure for drive-in theaters in
    the United States was 4,063 in 1958. Since then, the
    number of drive-ins has decreased by 3,680. How
    many drive-in theaters are there today? (Source:
    United Drive-in Theater Owners Association)