Page 625 - Basic College Mathematics with Early Integers

602 C HAPTE R 8 I INTRODUCTION TO ALGEBRA

Solve. For Exercises 43 and 44, the solutions have been started for you. See Examples 4 and 5.

43. Currently, Florida has 28 fewer electoral votes for 44. Currently,Texas has twice the number of electoral
president than California. If the total number of votes for president as Michigan. If the total number
electoral votes for these two states is 82, find the of electoral votes for these two states is 51, find the
number for each state. (Source: The World number for each state. (Source:The World Almanac)
Almanac)
Start the solution:
Start the solution: 1. UNDERSTAND the problem. Reread it as many
1. UNDERSTAND the problem. Reread it as many times as needed. Let’s let
times as needed. Let’s let x = number of electoral votes for Michigan
x = number of electoral votes for California Then
Then 2x = number of electoral votes for Texas
x - 28 = number of electoral votes for Florida 2. TRANSLATE into an equation. (Fill in the
2. TRANSLATE into an equation. (Fill in the blanks below.)
blanks below.)
votes for votes for
votes for votes for Michigan + Texas = 51
California + Florida = 82
T T
T T + = 51
+ = 82
Now, you finish with
Now, you finish with 3. SOLVE the equation.
3. SOLVE the equation. 4. INTERPRET the results.
4. INTERPRET the results.

45. A falcon, when diving, can travel five times as fast as 46. Norway has had three times as many rulers as
a pheasant’s top speed. If the total speed for these Liechtenstein. If the total number of rulers for both
two birds is 222 miles per hour, find the fastest speed countries is 56, find the number of rulers for Norway
of the falcon and the fastest speed of the pheasant. and the number for Liechtenstein.
(Source: Fantastic Book of Comparisons)

Norway Liechtenstein

47. The largest university (by enrollment) is Allama Iqbal 48. The average life expectancy for an elephant is
Open University in Pakistan, followed by Indira 24 years longer than the life expectancy for a
Gandhi National Open University in India. If the chimpanzee. If the total of these life expectancies is
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enrollment in the Pakistan university is 306 thousand 130 years, find the life expectancy of each.
more students than the Indian university, and their
combined enrollment is 3306 thousand students, find
the enrollment for each university. (Source:The Top
10 of Everything)