Farmer Brown has cows and ducks. There is a total of 148 "feet." Figure out how many of each Farmer Brown has. Could someone help me with this question.
Cows have 4 legs, chickens have 2 legs, so
cows ---x , chickens ---- y
4x + 2y = 148
2x + y = 74
y = 74 - 2x
pick any x from 0 to 37, to get the y
e.g. if he has 20 cows, then he has 74-40 or 34 chickens
check: 20 cows have 80 legs, 32 chickens have 68 legs. 80+68 = 148
e.g. if he has 5 cows, then he has 74-10 or 64 chickens
check: 5 cows have 20 legs, 64 chickens have 128 legs. 20+128 = 148
Was there more information?
It not Chicken it ducks and it feet not legs were did you get 74-2x from
Wow,
replace the word chicken with ducks, and the word legs with feet.
Same question!
Where does the 74-2x come from?
Did you look at the algebra in my solution?
All it said was there were 148 "feet" that was the total it say to figure out how many of each farmer Brown has.
Did you not understand that there cannot be a unique solution if that is the only information you were given?
Since the question says that the farmer "has cows and ducks" we can assume that he must have at least one of each type.
so x could be 1,2,3,...., 36
for a possible 36 different answers.
I even gave you two possible solutions.
Sure, I can help you with that!
Let's solve this problem step by step. First, let's assign variables to represent the number of cows and ducks that Farmer Brown has. Let's say "c" represents the number of cows, and "d" represents the number of ducks.
Now, we know that cows have 4 feet each, and ducks have 2 feet each. The total number of "feet" can be represented by the equation:
4c + 2d = 148
This equation states that the total number of cow feet (4c) plus the total number of duck feet (2d) equals 148.
Now, we need to find the values of c and d that satisfy this equation and solve for them. There are different methods to solve such equations, but here we will use a trial and error method.
You can start by considering different possible values for c and d. For example, you could start with c = 1 and d = 73, as it satisfies the total number of feet equation:
4(1) + 2(73) = 4 + 146 = 150
Since 150 is not equal to 148, this is not the correct solution.
You can continue this process of trial and error until you find the values of c and d that satisfy the equation. In this case, you will find that c = 23 and d = 25 is the correct solution:
4(23) + 2(25) = 92 + 50 = 142
Since 142 is not equal to 148, you can increment or decrement the values of c and d and continue the process until you find the correct solution.
Therefore, Farmer Brown has 23 cows and 25 ducks.