Page 101 - Basic College Mathematics with Early Integers

78 C HAPTE R 1 I THE WHOLE NUMBERS

2. TRANSLATE. Remember that order matters when subtracting, so be careful
when translating.

In words: Iowa salary is California salary minus $17,760

∂ ∂ ∂ ∂
Translate: Iowa salary = 64,424 - 17,760

3. SOLVE.This time, instead of estimating, let’s check by adding.

64,424 Check: 46,664
-17,760 +17,760
46,664 64,424

4. INTERPRET. Check your work. The check is above. State your conclusion:
The average Iowa teacher’s salary in 2008 was $46,664.

Work Practice 4

Objective Solving Problems That Require
More Than One Operation

We must sometimes use more than one operation to solve a problem.

PRACTICE 5 Example 5 Planting a New Garden
A gardener is trying to decide A gardener bought enough plants to fill a rectangular garden with length 30 feet
how much fertilizer to buy for and width 20 feet. Because of shading problems from a nearby tree, the gardener
his yard. He knows that his lot changed the width of the garden to 15 feet. If the area is to remain the same, what
is in the shape of a rectangle is the new length of the garden?
that measures 90 feet by 120
feet. He also knows that the Solution:
floor of his house is in the 1. UNDERSTAND. Read and reread the problem. Then draw a picture to help
shape of a rectangle that visualize the problem.
measures 45 feet by 65 feet.
How much area of the lot is not
covered by the house?

New garden
Old
65 feet garden
45 feet 20 feet
120 feet
90 feet 30 feet 15 feet

Copyright 2012 Pearson Education, Inc.
2. TRANSLATE. Since the area of the new garden is to be the same as the area
of the old garden, let’s find the area of the old garden. Recall that
Area = length * width = 30 feet * 20 feet = 600 square feet

Answer
5. 7875 sq ft