Question 168846
letx="1st test", y="2nd test", and z="3rd test"


"Kristen has a total of 225 on three tests" __ x+y+z=225


" The sum of the scores on the first and second tests exceeds her third score by 61" __ x+y=z+61


"her first score exceeds her second by 6" __ x=y+6


substituting from 2nd equation into 1st __ (z+61)+z=225 __ 2z+61=225 __ 2z=164 __ z=82


substituting from 3rd eqn into 2nd __ (y+6)+y=(82)+61 __ 2y+6=143 __ 2y=137 __ y=68.5


substituting into 3rd eqn __ x=(68.5)+6 __ x=74.5