SOLUTION: MRS. YOUNG RECEIVED HER BANK STATEMENT, SHE NOTICED THAT THE PRESENT BALANCE WAS THE SAME AS HER PREVIOUS BALANCE. HER DEPOSITS WHER 1/2 HER PRESENT BALANCE, HER WITHDRAWALS WERE 1

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: MRS. YOUNG RECEIVED HER BANK STATEMENT, SHE NOTICED THAT THE PRESENT BALANCE WAS THE SAME AS HER PREVIOUS BALANCE. HER DEPOSITS WHER 1/2 HER PRESENT BALANCE, HER WITHDRAWALS WERE 1      Log On


   

Question 675899: MRS. YOUNG RECEIVED HER BANK STATEMENT, SHE NOTICED THAT THE PRESENT BALANCE WAS THE SAME AS HER PREVIOUS BALANCE. HER DEPOSITS WHER 1/2 HER PRESENT BALANCE, HER WITHDRAWALS WERE 1/3 HER PRESENT BALANCE, AND HER AUTO PAYMENTS WERE 1/4 HER PRESENT BALANCE. HER DIRECT DEPOSIT WAS 1/10 HER PRESENT BALANCE . THE ACCOUNT HAD A $9.29 SERVICE CHARGE BUT NO INTEREST. WHAT IS MRS YOUNGS PRESENT BALANCE AND PLEASE SHOW HOW YOU GOT THE ANSWER.
THANKS!!!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
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 %281%2F2%29x
her withdrawals were %281%2F3%29x

auto-payments %281%2F4%29x
direct deposits were %281%2F10%29x
service charge 9.29

the present balance is x=%28y%2B%281%2F2%29x%2B%281%2F10%29x%29-%28%281%2F3%29x%2B%281%2F4%29x%2B9.29%29

since y=x, we have

x=%28x%2Bx%2F2%2Bx%2F10%29-%28x%2F3%2Bx%2F4%2B9.29%29

x=%2810x%2B5x%2Bx%29%2F10-%28%284x%2B3x%29%2F12%2B9.29%29

x=16x%2F10-7x%2F12-9.29.....both sides multiply by 120

120x=120%2816x%2F10%29-120%287x%2F12%29-120%2A9.29



120x=12%2A16x-10%2A7x-1114.8

120x=192x-70x-1114.8

120x=122x-1114.8

1114.8=122x-120x

1114.8=2x

1114.8%2F2=x

highlight%28x=557.4%29.........the present balance