Question 675899
let {{{x}}} be the present balance

let {{{y}}} be the previous balance


the present balance is equal to the previous balance: {{{y=x}}}

her deposits were  {{{(1/2)x}}}

her withdrawals  were  {{{(1/3)x}}}
 
auto-payments  {{{(1/4)x}}}

direct deposits were {{{(1/10)x}}}

service charge {{{9.29}}}


the present balance is {{{x=(y+(1/2)x+(1/10)x)-((1/3)x+(1/4)x+9.29)}}}


since {{{y=x}}}, we have


{{{x=(x+x/2+x/10)-(x/3+x/4+9.29)}}}


{{{x=(10x+5x+x)/10-((4x+3x)/12+9.29)}}}


{{{x=16x/10-7x/12-9.29}}}.....both sides multiply by {{{120}}}


{{{120x=120(16x/10)-120(7x/12)-120*9.29}}}


{{{120x=cross(120)12(16x/cross(10))-cross(120)10(7x/cross(12))-120*9.29}}}


{{{120x=12*16x-10*7x-1114.8}}}


{{{120x=192x-70x-1114.8}}}


{{{120x=122x-1114.8}}}


{{{1114.8=122x-120x}}}


{{{1114.8=2x}}}


{{{1114.8/2=x}}}


{{{highlight(x=557.4)}}}.........the present balance