two women together took 100 eggs to a market, one had more than the other. both sold them for the same sum of money. the first then said to the second if i had your eggs i would have earned rs 15 to which the second replied if i had your eggs i would have earned rs 6 2/3. how many eggs did each had in the beginning
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Answer:
40 & 60 Eggs
Step-by-step explanation:
Let say One had = E eggs
Then other had = 100 - E eggs
Let Say Both sold the eggs for = S Rs
Selling Price with E eggs = S/E
She would have got rs 15 by selling other's egg
=> (S/E)(100 - E) = 15 - Eq 1
Selling Price with 100-E eggs = S/(100-E)
She would have got rs 20/3 by selling other's egg
=> (S/(100-E))E = 20/3 Eq 2
Eq1/E2
=> (100-E / E)² = 15/(20/3)
=> (100-E / E)² = 9/4
=> 100- E / E = 3/2
=> 200 - 2E = 3E
=> 5E = 200
=> E = 40
One had 40 Eggs
Other Had = 60 eggs
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