Respuesta :
Answer:
12:40
Step-by-step explanation:
The total number of horses is given as 52.
Number of white horses =12
Let the number of black horses be [tex]x[/tex].
This means that ratio of white: black horses is 12:[tex]x[/tex].
Using the ratio above, we can find the number of black horses as follows:
[tex]x/(12+x)[/tex] of 52=x
[tex]x/(12+x)*52=x[/tex]
[tex]52x/(12+x)=x[/tex]
[tex]52x=x(12+x)[/tex]
[tex]52x=(12x+x^2)[/tex]
[tex](12x+x^2)=52x[/tex]
[tex]x^2+12x-52x=0[/tex]
[tex]x^2-40x=0[/tex]
Taking out the common factor x from equation we have:
[tex]x(x-40)=0[/tex]
This gives us with two solution:
x=0 and x=40.
Since the question said there are some black horses, the x=0 value can be ignored. So we have [tex]x=40[/tex]
Hence the ratio: 12:40
