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?

x(x + 2)(x + 5)

(x + 1)(x + 3)

x(x + 1)(x + 5)

(x + 2)(x + 3)

(x + 1)(x + 3)(x + 5)

x(x + 2)

(x + 1)(x + 3)

x(x + 2)(x + 5)

none of these

hens

eggs

days

given:

x + 1

x + 2

then 1 hen:

x + 1

x + 2

1 hen to lay x + 5 eggs (takes longer):

x(x + 5)

x + 1

(x + 2)x(x + 5)

x + 1

x + 3 hens (goes faster):

x + 3

x(x + 5)

x + 1

(x + 2)x(x + 5)

(x + 1)(x + 3)

The answer is (a).

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