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When Isabella Young received her bank statement, she noticed that her present balance was the same as her previous balance. Her deposits were 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 Isabella's present balance?

Respuesta :

adioabiola

The present balance in Isabella's bank.statement is; -$9.45

Fractions and Balance

From the task content;

  • Let Isabella's present balance be X.

Hence, from the problem statements regarding her deposits, withdrawals, auto-payments, direct deposit and service charge; it follows that;

  • (1/2)x - (1/3)x -(1/4)x +(1/10x) -$9.29 = x

By finding the LCM of common terms;

  • (1/60)x - $9.29 = x

  • 59x = -$9.29 × 60

  • 59x = $557.4

  • x = $557.4/59

x = -$9.45

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