Answer: 24 black horses
Step-by-step explanation:
Let the number of black horses = bl and
The number of Brown horses = br
Total number of horses = d
Of the horses in the field, only 25% of them are brown. That is,
25% of d = br
0.25d = br ........ (1)
The remaining horses are black. Which will be 100% - 25% = 75%. That is,
75% of d = bl
0.75d = bl ........(2)
But according to the question, there are 16 more black horses than brown horses. That is,
bl = br + 16 ..... (3)
The total number of horses d will be
d = br + bl ...... (4)
Substitute bl in equation 3 into equation 4
d = br + br + 16
d = 2br + 16 ..... (5)
Substitutes equation (1) into the equation (5)
d = 2( 0.25d ) + 16
d = 0.5d + 16
Collect the like terms
d - 0.5d = 16
0.5d = 16
d = 16/0.5
d = 32
Substitute 32 for d in equation (2).
bl = 0.75 × 32
bl = 24 horses.
Therefore, 24 horses are black.
