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

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) (Show Source): You can put this solution on YOUR website!
let be the present balance
let be the previous balance

the present balance is equal to the previous balance:
her deposits were
her withdrawals were

auto-payments
direct deposits were
service charge

the present balance is

since , we have

.....both sides multiply by

.........the present balance

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