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Beth has hamster s at her house.the number of hamsters is equal to the sum of the number of birds at Kristin's house and the number of dogs at Wendi s

 house. John has the same number of cats as Wendi has dogs. If these four children have a total of 12 pets how many pets are at each house. PLEAS EXPLAIN!!!!!

 Nov 20, 2015
edited by Guest  Nov 20, 2015

Best Answer 

 #4
avatar+118724 
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Good answer guest :)

 

This one is a bit horid isn't it.

I think the question should have stated more clearly that each child only has one type of pet.  Anyway,

I am going to try to :)

 

1) Beth has hamster s at her house.the number of hamsters is equal to the sum of the number of birds at Kristin's house and the number of dogs at Wendi s  house.

2) John has the same number of cats as Wendi has dogs. If these four children have a total of 12 pets how many pets are at each house. PLEAS EXPLAIN!!!!!

 

This is made to sound more complicated than it realy is because each child only has one type of pet and thew are all different from one another so you can just talk about 

hamsters, birds, cats and dogs.  So lets simplify the question.

1)  The number of hamsters is equal to the number of birds + the number of dogs.

2)  Number of cats = number of dogs.  

Let the number of cats be x, then number of dogs is x too

Let the number of birds be y

then the number of hamsters is x+y

 

so altogether we have x+x+y+(x+y) pets and this equals 12 pets.

x+x+y+(x+y) =12

3x+2y=12

x and y have to both be more than 0 and whole numbers

If x is 1 y is 4.5 which is not a whole number

If x=2 then y would  be 3

If x=3 y =1.5 which is not a whole number

If x=4 then 0 and that is too little

So x=2 and y=3

 

So there are 2 cats and 2 dogs and 3 birds and 2+3=5 hamsters.

 

Just like our guest found.  :)

 Nov 20, 2015
 #1
avatar
0

Meant to say has the same number of dogs at Wendi s

 

 house not genesis

 Nov 20, 2015
 #2
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0

Total is 12      Hamsters is 'x'     x = kbirds + wdogs    jcats=wdogs     

12 = x + (kbirds + wdogs) + jcats

Substituting

 

12 = x + (kbirds +wdogs) + jcats

12 = (kbirds + wdogs) + (kbirds+wdogs) + wdogs

12 =2kbirds + 3wdogs

Since we can only have whole numbers of animals, the only solution here is

kbirds = 3    wdogs =2      so x= hamsters= kbirds + wdogs = 5           jcats= wdogs = 2    

 Nov 20, 2015
 #4
avatar+118724 
+5
Best Answer

Good answer guest :)

 

This one is a bit horid isn't it.

I think the question should have stated more clearly that each child only has one type of pet.  Anyway,

I am going to try to :)

 

1) Beth has hamster s at her house.the number of hamsters is equal to the sum of the number of birds at Kristin's house and the number of dogs at Wendi s  house.

2) John has the same number of cats as Wendi has dogs. If these four children have a total of 12 pets how many pets are at each house. PLEAS EXPLAIN!!!!!

 

This is made to sound more complicated than it realy is because each child only has one type of pet and thew are all different from one another so you can just talk about 

hamsters, birds, cats and dogs.  So lets simplify the question.

1)  The number of hamsters is equal to the number of birds + the number of dogs.

2)  Number of cats = number of dogs.  

Let the number of cats be x, then number of dogs is x too

Let the number of birds be y

then the number of hamsters is x+y

 

so altogether we have x+x+y+(x+y) pets and this equals 12 pets.

x+x+y+(x+y) =12

3x+2y=12

x and y have to both be more than 0 and whole numbers

If x is 1 y is 4.5 which is not a whole number

If x=2 then y would  be 3

If x=3 y =1.5 which is not a whole number

If x=4 then 0 and that is too little

So x=2 and y=3

 

So there are 2 cats and 2 dogs and 3 birds and 2+3=5 hamsters.

 

Just like our guest found.  :)

Melody Nov 20, 2015

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