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.
Accepted Solution
A:
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