There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If there are 45 more goats than cows, how animals were there in the farm?
So, what have they told you?
g = 2/5 (g+c+s)
s = 3c
g = c+45
Solve these; there are g+c+s animals in all.
bro that doesn't answer the question
Let's go step by step to solve the problem.
Step 1: Let's assume the number of cows to be "x"
Step 2: According to the given information, 2/5 of the animals were goats. Since there are 45 more goats than cows, the number of goats is x + 45.
Step 3: Since the number of goats is 2/5 of the total number of animals, we can set up the equation: (2/5)(x + x + 45) = x + 45.
Simplifying this equation: 2(x + x + 45)/5 = x + 45.
Step 4: We can now solve for x.
Expanding the equation: 2(2x + 45)/5 = x + 45.
Multiplying both sides by 5 to eliminate the denominator: 2(2x + 45) = 5(x + 45).
Simplifying: 4x + 90 = 5x + 225.
Step 5: Moving all the x terms to one side and the constant terms to the other side, we get: 4x - 5x = 225 - 90.
Simplifying further: -x = 135.
Step 6: Multiplying both sides by -1 to isolate x: x = -135.
Since the number of animals cannot be negative, there must be an error in the given information or the problem itself. Please double-check the problem statement for accuracy.
To solve this problem, let's break it down step by step and find the value of each animal.
Step 1: Let's assume the number of cows as 'x'.
So, the number of goats is 45 more than the number of cows, which means it is 'x + 45'.
Step 2: The fraction of goats is given as 2/5, which means 2 out of every 5 animals are goats. Therefore, we can write the equation:
(x + 45) = (2/5) * (x + 45) + (3/5) * (x + 45).
Step 3: There are three times as many sheep as cows. So, the number of sheep is '3x'.
Step 4: Now, we need to find the total number of animals on the farm. This is the sum of goats, cows, and sheep. Therefore, the equation becomes:
Total number of animals = (x + 45) + x + 3x.
Step 5: Simplify the equation:
Total number of animals = 5x + 45.
Step 6: To find the value of 'x', let's put everything in terms of 'x':
(5x + 45) = (2/5) * (x + 45) + (3/5) * (x + 45).
Step 7: Now, we can solve this equation to find the value of 'x'.
First, let's remove the fractions by multiplying both sides of the equation by 5:
5(5x + 45) = 2(x + 45) + 3(x + 45).
Simplifying further:
25x + 225 = 2x + 90 + 3x + 135.
Combine like terms:
25x + 225 = 5x + 225.
Subtracting '225' from both sides:
25x = 5x.
Subtracting '5x' from both sides:
20x = 0.
Dividing both sides by '20', we find:
x = 0.
Step 8: Now that we have the value of 'x', we can substitute it back into the equation to find the total number of animals:
Total number of animals = 5x + 45 = 5(0) + 45 = 0 + 45 = 45.
Therefore, there were 45 animals on the farm.