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Question 563888: Hi, the following question could be answered by algebra. However, it is posed to a 7 year old child. How do I answer it in a simple way?
Madam five wants to buy some poultry from the market. The seller told her that a chicken and a duck cost $12, a duck and a turkey cost $20, a chicken and a turkey cost $16. How much does each poultry cost?
Found 2 solutions by mananth, Theo:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
I am making an attempt to teach a 7 year old
Suppose
First I buy a chicken and duck . I pay $12
Then I buy a duck & turkey. I pay $20
Finally I buy a chicken & turkey . I pay $16
So Now I have 2 chickens , 2 ducks and 2 turkeys . Total I paid $48
So 1 chicken ,1duck & 1 turkey will cost half as much = 24
Now all three cost $24 but chicken & duck cost $12. So Turkey is $12
and so on.
Was it useful? I am interested
m.ananth@hotmail.ca
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website!
i'm not an educator, but this sounds like an awfully difficult problem to be giving to a 7 year old.
the problem is:
Madam five wants to buy some poultry from the market. The seller told her that a chicken and a duck cost $12, a duck and a turkey cost $20, a chicken and a turkey cost $16. How much does each poultry cost?
if you look at what's presented, you might be able to logically deduce as follows:
chicken and duck equal 12 dollars
turkey and duck equal 20 dollars
chicken and turkey equal 16 dollars
what you have is:
chicken and turkey equal 16 dollars
chicken and duck and turkey and duck equals chicken and turkey and 2 ducks and the total of that is equal to 12 dollars plus 20 dollars which equals 32 dollars.
since you know that chicken and turkey equals 16 dollars, then you can take away chicken and turkey from chicken and turkey and 2 ducks which leaves you with 2 ducks.
since chicken and turkey and 2 ducks equals 32 dollars and chicken and turkey equals 16 dollars, when you take away chicken and turkey you are taking away 16 dollars from 32 dollars and you are left with 16 dollars.
this means that 2 ducks equals 16 dollars which means that 1 duck is equal to 8 dollars.
now that you know that 1 duck is equal to 12 dollars, you can take chicken and duck equals 12 dollars and subtract duck and are left with 4 dollars.
similarly, you can take turkey and duck equal to 20 dollars and subtract 8 dollars to get turkey equals 12 dollars.
you get:
chicken equals 4 dollars
duck equals 8 dollars
turkey equals 12 dollars
checking your answer out to see if it's correct, you get:
chicken and duck costs 12.00
4 dollars for the chicken and 8 dollars for the duck totals 12.00 so that part is ok.
turkey and duck costs 20.00
8 dollars for the duck and 12.00 for the turkey totals 20.00 so that part is ok.
turkey and chicken costs 16.00
12 dollars for the turkey and 4 dollars for the chicken totals 16.00 so that part is ok.
everything checks out so the answer is good.
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