In herd of X cattles,the ratio of number of bulls to cow is 1:6. Find the number of bulls in terms of X

Answer 1

If the ratio of the number of bulls to cows is 1:6, then we can write this as a fraction:
1/6.

To find the number of bulls, we'll set up a proportion using this ratio. Let B represent the number of bulls and C represent the number of cows.

B/C = 1/6

We know that the total number of cattles is equal to the sum of the number of bulls and cows:

B + C = X

Now we have a system of two equations:

B/C = 1/6
B + C = X

To solve for B in terms of X, we can isolate B in the second equation:

B = X - C

Substitute this expression for B in the first equation:

(X - C)/C = 1/6

To solve for C, we'll multiply both sides of the equation by 6C:

6(X - C) = C

Distribute on the left side:

6X - 6C = C

Add 6C to both sides:

6X = 7C

Divide both sides by 7:

(6/7)X = C

Now we have C in terms of X. To find B in terms of X, substitute this expression for C in the expression for B:

B = X - (6/7)X

B = (7/7)X - (6/7)X

B = (1/7)X

Therefore, the number of bulls in terms of X is (1/7)X.