Problema Solution
Five boys Alan, Ben, Chris, Den and Eng share sum of money.
Alan takes 1/5 of the sum of money.
After Alan has taken his share, ben takes 1/3 of the remaining money.
After Ben has taken his share, Chris takes 1/4 of the remaining money.
After Chris has taken his share, Den takes his 1/7 of the remianing of money.
Afetr Den has taken his sahre, Eng takes all of the remaining money.
what fraction of the sum of money is eng's share.
Answer provided by our tutors
let 'x' represent all the money
Alan: x/5
Ben: (1/3)(x-x/5)
Chris: (1/4)(x - (1/3)(x-x/5))
Den: (1/7)(x - (1/4)(x - (1/3)(x-x/5)))
Eng's share:
x - (x/5) - (1/3)(x-x/5) - (1/4)(x - (1/3)(x-x/5)) - (1/7)(x - (1/4)(x - (1/3)(x-x/5)))
which simplifies to (7/30)x
Eng's share is 7/30