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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

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1 vote

Answer:

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.

User Ohad Perry
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