Page 279 - Basic College Mathematics with Early Integers

256 C HAPTE R 3 I FRACTIONS

Objective Translating Translate each phrase to an algebraic expression. Use x to represent “a number.”
See Examples 15 and 16.

2 3
69. -5 decreased by a number 70. The sum of 8 and a number
7 4

9 1
71. Multiply 1 by a number. 72. Divide a number by -6 .
10 11

Solve. For Exercises 73 and 74, the solutions have been started for you.Write each answer in simplest form. See
Examples 15 and 16.

73. A heart attack patient in rehabilitation walked on a 74. A local restaurant is selling hamburgers from a booth
3 3
treadmill 12 miles over 4 days. How many miles is on Memorial Day.A total of 27 pounds of
4 4
this per day? hamburger have been ordered. How many quarter-
pound hamburgers can this make?

Start the solution:
Start the solution:
1. UNDERSTAND the problem. Reread it as many
times as needed. 1. UNDERSTAND the problem. Reread it as many
times as needed.
2. TRANSLATE into an equation. (Fill in the blanks.)
2. TRANSLATE into an equation. (Fill in the blanks.)
miles total divided number
is
per day miles by of days how many total divided a
quarter-pound is pounds of quarter-
T T T T T by
hamburgers hamburger pound
miles = , T T T T T
per day
how many
quarter-pound = ,
Finish with:
hamburgers
3. SOLVE. and 4. INTERPRET.
Finish with:
3. SOLVE. and 4. INTERPRET.

75. The Gauge Act of 1846 set the standard gauge for 76. The standard railroad track gauge (see figure) in
1 9
U.S. railroads at 56 inches. (See figure.) If the Spain is 65 inches, while in neighboring Portugal it
2 10
9 11
standard gauge in Spain is 65 inches, how much is 65 inches.Which gauge is wider and by how
10 20
wider is Spain’s standard gauge than the U.S. standard
much? (Source: San Diego Railroad Museum)
gauge? (Source: San Diego Railroad Museum)

Track gauge (U.S. 56q inches)
Copyright 2012 Pearson Education, Inc.

5 inch
8
Point of
measurement
of gauge