Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/4 of the hot dogs! Grumbling, we cleaned up the mess, then ate 12 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/6 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/5. Our campsite neighbors, however, ran out of food, so we gave them 3/7 of our remaining hot dogs and then ate 12 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 3 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/4 of the hot dogs! Grumbling, we cleaned up the mess, then ate 12 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/6 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/5. Our campsite neighbors, however, ran out of food, so we gave them 3/7 of our remaining hot dogs and then ate 12 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 3 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)
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