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.
Question
Answer:
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
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10 months ago
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