Haorui Y.
asked • 09/11/19I want to know how to solve this the proper way, not by trial and error :)
In a town, 10% of the dogs think they are cats and 10% of the cats think that they are dogs. All the other cats + dogs are normal. When all the animals were asked what they were, 20%THOUGHT they were cats.
What percentage of them in the town are REALLY cats
Mark M. answered • 09/12/19
Mathematics Teacher - NCLB Highly Qualified
The only information that relates the number of cats to the number of dogs is "20% thought they were cats.
This 20% of all animals consists of 90% of the cats (that don't think they are dogs) and 10% of the dogs (who do). That information is insufficient to solve the riddle. Should you get one, let me know!
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Haorui Y.
I put dog as X and cat as Y Town = X + Y 20% of (x+Y) = the animals that thinks they are cats 20% (x+y) = 10% x + 90% y so that means 20% x + 20% y = 10% x + 90% y which equals to (20%x + 20%y) - 10%x = 90%y so 10%x + 20%y = 90%y 90-20 = 70 so 10%x = 70%y so there are 7 dog per 1 cats so the answer is 12.5% of cats?09/12/19