The ratio of the number of hens to the number of goats on farm A is 5 4 and that on farm B is 5 7 Wh...........

Quantitative Aptitude (MTS) Ratio, Proportion

The ratio of the number of hens to the number of goats on farm A is 5: 4 and that on farm B is 5 : 7. What could be the ratio of

the total number of hens to the total number of goats in farms A and B taken together?

This questions was previously asked in

SSC MTS 5th July 2022 Shift-1

3 : 2

7 : 11

1 : 2

9 : 11

- Farm A: The ratio of hens to goats is 5:4. Let the number of hens be 5x and goats be 4x.

- Farm B: The ratio of hens to goats is 5:7. Let the number of hens be 5y and goats be 7y.

- The total number of hens from both farms is 5x + 5y.

- The total number of goats from both farms is 4x + 7y.

- To find the ratio of total hens to total goats, calculate $$(5x + 5y) : (4x + 7y)$$.

Option 1: 3:2

- Requires finding values of x and y satisfying $$(5x + 5y)/(4x + 7y) = 3/2$$. This ratio doesn't simplify to 3:2 with arbitrary x and y.

Option 2: 7:11

- Requires $$(5x + 5y)/(4x + 7y) = 7/11$$. This also doesn't meet conditions easily.

Option 3: 1:2

- Requires $$(5x + 5y)/(4x + 7y) = 1/2$$. Not achieved through simple x and y values.

Option 4: 9:11

- Requires \((5x + 5y)/(4x + 7y) = 9/11$$. This ratio can align with possible values of x and y, providing a feasible solution.

Option 4: 9:11

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