Question

On a farm A 4/5 of the number of sheep are equal to 1/2 of the number of sheep on farm B. The total number of sheep on farm A and farm B is 845. How many sheep are there on farm B

Answer 1

There are 520 sheep on Farm B.

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;

`(4)/(5)* \textrm{Number of  sheep on Farm A} = (1)/(2) * x`

Number of sheep on Farm A =
`(x)/(2)*(5)/(4)  = (5x)/(8)`

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;

`(5x)/(8)+x=845`

Taking L.C.M we get;

`(5x* 1)/(8*1)+(x*8)/(8) =845\\\\(5x)/(8)+(x)/(8) =845\\\\(5x+8x)/(8)=845\\\\(13x)/(8)= 845\\\\13x=845*8\\\\x=(845*8)/(13) = 520`

Number of sheep on Farm B = 520 sheep

Number of sheep on Farm A =
`(5)/(8)* 520 = 325\ sheep`

Hence There are 520 sheep on Farm B.