word problem I am having difficulty setting up

Question

Distribute $4950 among, John, Maria and Betsy so that maria receives twice as much as john and betsy receives three times as much as joh

Answer 1

suppose John receives x, Maria receives y, Betsy receives z

 

x+y+z=4950

y=2x

z=3x

so x+2x+3x=4950, 6x=4950, x=825, thus y=1650, z=2475

 

John receives $825, Maria receives $1650, Betsy receives $2475