Question

You must bye one hundred eggs with 100 cents. There are three types of eggs and you will need to buy all three types of eggs.Goose eggs must be bought in multiples of twenty. 1 chicken egg costs 5 cents 1 duck egg costs 1 cent 20 goose eggs costs 1 cent How many chicken, duck and goose eggs do you need to buy?

Answer 1

1 duck egg

19 chicken eggs

80 goose eggs

Explanation:

Given that:

Goose eggs must be bought in multiples of 20

20 goose eggs = 1 cent

1 chicken egg = 5 cents

1 duck egg = 1 cent

Total amount to spend = 100 cents

Total number of eggs to purchase = 100

In other to ensure that 100 cents is spent and 100 eggs is purchased :

Using logical analysis :

1 cent is spent on duck egg, so 1 duck egg is purchased

Goose eggs (sold in multiples of 20) for 1 cent each ; 4 cents is spent on (20 * 4) = 80 goose eggs

100 - (4 + 1) = 100 - 5 = 95 cents is spent on chicken eggs ; 95 / cost per chicken egg = 95 / 5 = 19 chicken eggs

Hence,

1 duck egg = 1 cent

(20 *4) goose eggs = 80 eggs ; 4 * 1 = 4 cents

19 chicken eggs = 19 * 5cent = 95 cents

(1 + 80 + 19)eggs = (1 + 4 + 95)cents

100eggs = 100centa