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nlexa [21]
3 years ago
12

Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows

he has 22 animals and 22 is also his age. He also knows that the animals have a total of 56 legs, because 56 is also his father’s age.
Question: Assuming that each animal has all legs intact and no more, how many of each animal does Farmer Ben have?
Your Diagram:




Process: Describe what you did in attempting to solve this problem. Write about such things as:
how you got started
where you got stuck, and how you got unstuck
how you knew when to stop
efforts that didn’t work out or that seemed like a waste of time

Explanation:
Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow =  48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

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Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9


We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
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Read 2 more answers
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