Respuesta :
Answer:
There are 520 sheep on Farm B.
Step-by-step explanation:
Let the Number of sheep on farm B be x
Given:
On a farm A 4/5 of the number of sheep are equal to 1/2 of the number of sheep on farm B.
It means Number of sheep on farm A multiplied by 4/5 is equal to 1/2 multiplied by Number of sheep on farm B.
framing the equation we get;
[tex]\frac{4}{5}\times \textrm{Number of sheep on Farm A} = \frac{1}{2} \times x[/tex]
Number of sheep on Farm A = [tex]\frac{x}{2}\times\frac{5}{4} = \frac{5x}{8}[/tex]
Now Given:
Total Number of sheep =845.
We know that Total Number of sheep is equal to sum of sheep at farm A and sheep at farm B.
Framing equation we get;
[tex]\frac{5x}{8}+x=845[/tex]
Taking L.C.M we get;
[tex]\frac{5x\times 1}{8\times1}+\frac{x\times8}{8} =845\\\\\frac{5x}{8}+\frac{x}{8} =845\\\\\frac{5x+8x}{8}=845\\\\\frac{13x}{8}= 845\\\\13x=845\times8\\\\x=\frac{845\times8}{13} = 520[/tex]
Number of sheep on Farm B = 520 sheep
Number of sheep on Farm A = [tex]\frac{5}{8}\times 520 = 325\ sheep[/tex]
Hence There are 520 sheep on Farm B.
