Question

Nonsense Conversion Problems. How many elephants are equal to 10 gorillas? Conversion Factors: 1 elephant= 13 farmers, 23 gorillas= 4 horses, 5 farmers= 2 horses.

Answer 1

100/299 elephants is equal to 10 gorillas

Given that 23 gorillas = 4 horses, hence:

1 gorilla = (4/23) horses

The amount of horses that is equal to 10 gorillas is:

10 gorillas = (4/23) horses × 10 = (40/23) horses

Also, 5 farmers = 2 horses, hence:

1 horse = (5/2) farmer

The amount of farmers that is equal to (40/23) horses is:

(40/23) horses = (5/2) farmer × (40/23) = 100/23 farmers

Also, 1 elephant= 13 farmers. Hence:

1 farmer = (1/13) elephant

The amount of elephant that is equal to (100/23) farmers is:

(100/23) farmers = (1/13) elephant × (100/23) = 100/299 elephants

Hence 100/299 elephants is equal to 10 gorillas

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