Page 493 - Basic College Mathematics with Early Integers

470 C HAPTE R 6 I PERCENT

PRACTICE 2 Example 2 Finding Percent of Nursing Schools
In Florida, about 34,000 new with Increases in Enrollment
nurses were recently needed
There is a worldwide shortage of nurses, with numbers of nurses projected to be
and hired. If there are now
20% below requirements by 2020. Until 2001, there had also been a continual
130,000 nurses, what percent
decline in enrollment in nursing schools.That has recently changed.
of new nurses were needed in
In 2003, 2178 of the total 2593 nursing schools in the United States had an
Florida? Round to the nearest
increase in applications or enrollment. What percent of nursing schools had an
whole percent. (Source:
increase? Round to the nearest whole percent. (Source: CNN and Nurse Week)
St. Petersburg Times and The
Registered Nurse Population) Solution: Method 1. First, we state the problem in words.
In words: 2178 is ('')''* of 2593?
what percent
Translate: 2178 = n T # 2593
T
T
T
T
Next, solve for n.
2178
= n Divide 2178 by 2593, the number multiplied by n.
2593
0.84 L n Divide and round to the nearest hundredth.
84% L n Write as a percent.
In 2003, about 84% of nursing schools had an increase in applications or
enrollment.
Method 2.
In words: 2178 is what percent of 2593?
T T T
amount percent base

Translate: amount : 2178 p ; percent
=
base : 2593 100
Next, solve for p.

#
#
2178 100 = 2593 p Set cross products equal.
#
217,800 = 2593 p Multiply.
217,800
= p Divide 217,800 by 2593, the number multiplied by p.
2593
84 L p
In 2003, about 84% of nursing schools had an increase in applications or
enrollment.
Work Practice 2

PRACTICE 3 Example 3 Finding the Base Number of Absences
The freshmen class of 775 stu-
Mr. Buccaran, the principal at Slidell High School, counted 31 freshmen absent
dents is 31% of all students at
during a particular day. If this is 4% of the total number of freshmen, how many
Euclid University. How many
freshmen are there at Slidell High School?
students go to Euclid
University? Solution: Method 1. First we state the problem in words; then we translate. Copyright 2012 Pearson Education, Inc.
In words: 31 is 4% of what number?
('')''*
T T T T T
Answers Translate: 31 = 4% # n
2. 26% 3. 2500