2420.12 – Hen and a Half, Variables

If $x$ hens lay $x + 1$ eggs in $x + 2$ days, how many days will it take $x + 3$ hens to lay $x + 5$ eggs?

1. $\dfrac{x(x + 2)(x + 5)}{(x + 1)(x + 3)}$

2. $\dfrac{x(x + 1)(x + 5)}{(x + 1)(x + 3)}$

3. $\dfrac{(x+1)(x + 3)(x + 5)}{x(x + 2)}$

4. $\dfrac{(x + 1)(x + 3)}{x(x + 2)(x + 5)}$

5. none of the above

Solution

The answer is (a). Consult the table below.