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2006-12-07 07:15:10 · 9 answers · asked by randomperson 2 in Science & Mathematics Mathematics

please explain!!!!

2006-12-07 07:24:30 · update #1

not every family has a pet

2006-12-07 07:43:47 · update #2

9 answers

300+250-375
=550-375
=175 have both

2006-12-07 07:17:49 · answer #1 · answered by raj 7 · 2 1

You really can't tell from the information given. The best you can do is give a range.

Assume that every family has a pet. 300 have cats, then the other 75 must have dogs. This leaves 250-75 = 175 families with both cats and dogs.

Assume some families don't have a pet. 300 have cats, 75 could have no pets. This means that 250 families could have both a cat and a dog.

Therefore:

The number of families that have both a cat and a dog is greater than or equal to 175 and less than or equal to 250.

2006-12-07 15:29:03 · answer #2 · answered by T 5 · 1 0

There are more cat-families than dog families, so every cat-family could also be a dog family. As many as 250 could have both.

There are 125 families without dogs (375 - 250 = 125) If out of these 125 families, every single one is a cat-family, there would be as few as 175 with both. (300 - 125 = 175)

So the answer is anywhere from 175 to 250, based on the information provided.

2006-12-07 15:26:17 · answer #3 · answered by Anonymous · 1 0

Let a set contain several elements inside.
Set D + Set C - Set "D intersect C" (the common elements found in both sets) = Set "D union C" (all elements that are found in both sets)
By reversing the equation we know that Set "D intersect C" = Set D + Set C - Set "D union C"
In your example Set D= 250, Set C=300, Set "D union C"=375. Therefore, Set "D intersect C" (people that have both cats and dogs) = 250 + 300 - 375 = 175

2006-12-07 15:49:31 · answer #4 · answered by daniel_cohadier 3 · 1 0

can't definitively answer this question!

if all of the families have at least one pet, then there are 175 families that have both cats and dogs

but the question doesn't indicate whether every family has a pet - for instance, it is possible for 250 families to have both cats and dogs (50 families would have cats only, and another 75 would have no pets at all)

the question is ambiguous

2006-12-07 15:42:49 · answer #5 · answered by jimbob 6 · 0 0

300+250=550
550-375=175 minimum
250 maximum
it could be anywhere between 175 & 250.

2006-12-07 17:15:49 · answer #6 · answered by yupchagee 7 · 0 0

Perhaps all of the dog owners have cats also. This would mean that 250 families could have both.

2006-12-07 15:23:19 · answer #7 · answered by smartygirl 3 · 0 0

It could be a wide set of numbers.

2006-12-07 16:11:54 · answer #8 · answered by We Nappy but we Happy. 1 · 0 1

75

Coach

2006-12-07 15:23:07 · answer #9 · answered by Thanks for the Yahoo Jacket 7 · 0 3

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