Question

Three-fourths of a flock of sheep are black in color and half of the remaining are brown colored. The rest 9 are white in color. Which of the following equation represents total number of sheep in the flock?

3n/4 + n/8 + 9 = n
n/2 + 3n/8 + 9 = n
n/2 + 3n/4 + 9 = n
3n/4 + n/2 + 9 = n

Answer 1

Answer:

If 3/4 of the flock of sheep are black and half of the remaining are brown and the rest 9 are white, then

$\frac{3n}{4}$$+\frac{n}{8}$$+9 =n$

Step-by-step explanation:

Let n be the total number of sheeps

Given

Number of black sheeps = $\frac{3n}{4}$

Number of brown-colored sheep =

$\frac{n-\frac{3n}{4} }{2} \\\\= \frac{4n-3n}{8} \\\\= \frac{n}{8}$

Number white-colored sheep = 9

Thethe therefore total number of sheeps

n = $\frac{3n}{4}$$+\frac{n}{8}$$+9$