There are 28 dogs in a Kennel.11 dogs are brown.8 dogs have short tails.17 dogs have long hair.only 1 dog is brown with short tail and long hair3 dogs have short tail and long hair but are not brown.3 dogs are brown with short tail and Not long hair.How many dogs are brown with long hair but do NoT have short tails?
Q. There are 28 dogs in a Kennel.11 dogs are brown.8 dogs have short tails.17 dogs have long hair.only 1 dog is brown with short tail and long hair3 dogs have short tail and long hair but are not brown.3 dogs are brown with short tail and Not long hair.How many dogs are brown with long hair but do NoT have short tails?
Find Brown Dogs: First, let's find out how many dogs are brown and have long hair. We know that 11 dogs are brown.
Subtract Short Tails: Out of the 11 brown dogs, we need to subtract the ones that have short tails. We know that 3 brown dogs have short tails and not long hair, and only 1 brown dog has both a short tail and long hair.So, 11−3−1=7 brown dogs have long hair and do not have short tails.
Correct Subtraction: But wait, we made a mistake in the previous step. We shouldn't subtract the 3 brown dogs with short tails and not long hair because we're looking for dogs with long hair.So, we should only subtract the 1 brown dog that has both a short tail and long hair.So, 11−1=10 brown dogs have long hair and do not have short tails.