Section 5.6
Solving Equations with
Algebraic Fractions
Example 1
• Jamie would like to have a batting average of
.300 for the season. How, in his first 25 atbats, he has only 6 hits. If he has b more atbats, what batting average A does he need in
order to average .300 for all his at-bats?
6  ab
 .300
25  b
1.5  .3b
A
b
1 .5
 .3
b
Example 2
• Find all real solutions to
5
x  and 4
6
 6x 1
8
3x  5 
2x  7
2
8
8  6 x  29 x  28
 3x  4
2
2x  7
0  6 x  29 x  20
0  (6 x  5)( x  4)
Example 3
• The air distance from Chicago to LA is about
1800 miles. According to airline schedules,
planes are expected to be about 7.5 hours in
the air in completing a round trip. If the
typical tailwind is about 45 mph from LA to
Chicago, what is the expected speed of the
plane in still air?
1800
1800

 7.5
w  45 w  45
Example 3
1800( w  45)  1800( w  45)
 7.5
( w  45)( w  45)
3600w
w  484.18,4.182
 7.5
( w  45)( w  45)
3600w  7.5( w  4.5)( w  4.5)
3600w  7.5w  151.875
2
0  7.5w  3600 w  151.875
2
Homework
p. 315 – 316
2, 3, 7 - 13
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