Question

there are d horses in a field there are 16 more female horses than male horses of the horses in the field only 25% of the male horses are brown. How many horses are black.

Answer 1

Use f and m for "female" and "male."  Then f = m + 16, and f + m = d (total)

So now we have the system of linear equations

f = m + 16
f + m = d

We can eliminate f by subst. m + 16 for f in the second equation:
                                                                                                           d-16
m + 16 + m = d, or 2m + 16 = d.  Find m.  2m = d - 16, so that m = --------
                                                                                                               2

Assuming that the male horses are either brown or black, and that 25% of these are brown, then the rest must be black.  This number is
           
            d-16
0.75 [ --------- ] .
               2

Answer 2

The horses in the field only 25% of the male horses are brown.

$0.75 (\frac{d-16}{2})$ male horses are black

Given :

there are d horses in a field there are 16 more female horses than male horses

Let f be the female horses

and 'm' be the male horses

there are 16 more female horses than male

$f=m+16$

male and female horses total is d

$d=m+f\\d=m+m+16\\d=2m+16$

now we solve for m

$d=2m+16\\d-16=2m\\divide \; by \; 2\\m=\frac{d-16}{2}$

the horses in the field only 25% of the male horses are brown.

so 75% horses are black

75%=0.75

$0.75 (\frac{d-16}{2})$ male horses are black

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