2/5 of Josh's money was 3/4 of Ken's money. When Ken gave Josh $28, both of them would have the same amount of money. How much did Josh have at first?

Guest Jun 20, 2021

#1**+1 **

2/5 j = 3/4 k or k = 8/15 j

k already has LESS money than j giving him any amount of money will not make them equal

ElectricPavlov Jun 20, 2021

#2**+1 **

You're absolutely right!!!

In order for them to have the same amount of money, Josh MUST give $28 to Ken!!!

But, in the following equation, Ken will "give" $28 to Josh!?!? It's weird!!!

2/5x + 28 = 3/4x - 28

x = 160

Josh had $120 3/4(160) = 120 120 - 28 = 92 2/5(120) = 48

Ken had $64 2/5(160) = 64 64 + 28 = 92 3/4(64) = 48

civonamzuk
Jun 21, 2021