x=man 1
y=man 2
x+7 and y-7
then
(x+7)=5(y-7)
y+5 and x-5
(y+5)=7(x-5)
so equations are
x+7=5(y-7)
and
y+5=7(x-5)
distribute
x+7=5y-35
y+5=7x-35
subsitution
minus 5 both sides for 2nd equation
y=7x-40
sub 7x-40 for y in other equation
x+7=5(7x-40)-35
expand
x+7=35x-200-35
x+7=35x-235
minus 7 both sides
x=35x-242
minus 35x both sides
-34x=-242
divide both sides by -34
x=7.11765
first guy has about 7.12
sub back
y=7x-40
y=7*(7.11765)-40
y=9.82353
round
9.82
first guy has $7.12
2nd has $9.82
