Question

Ken and Sam shared some marbles. The ratio of the number of marbles Ken has to the number of marbles Sam has is
5:3. If Ken's marbles increases by 15%, what percentage of Sam's marbles must be decreased so that the total number of marbles they have remained unchanged?

Answer 1

k = (5/3) s

1.15 (5/3)s = new number of kens marbles

increase in kens marbles = .15 (5/3) s
= decrease in sam's marbles = .25 s

(.25 s / s )100 = 25% decrease