Molly really enjoyed country music. After listening one afternoon to her favorite station for an hour, she had heard 25 songs. All but 2 songs were about either truck drivers, being in love, hound-dog owners, or some combination of the three. She noted the following information: All of the truck drivers were in love. Three-fourths of the truck drivers were not hound-dog owners. There were five hound-dog owners who were in love. Of the hound-dog owners who were not truck drivers, half of them were in love. Eighty percent of all the songs concerned people in love. How many songs concerned people who were in love but were neither truck drivers nor hound-dog owners?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Molly really enjoyed country music. After listening one afternoon to her favorite station for an hour, she had heard 25 songs. All but 2 songs were about either truck drivers, being in love, hound-dog owners, or some combination of the three. She noted the following information: All of the truck drivers were in love. Three-fourths of the truck drivers were not hound-dog owners. There were five hound-dog owners who were in love. Of the hound-dog owners who were not truck drivers, half of them were in love. Eighty percent of all the songs concerned people in love. How many songs concerned people who were in love but were neither truck drivers nor hound-dog owners?

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