Repeated Division by 5: Calculate Bank Balance After 3 Weeks Starting at $245

Alejandra checks her bank account once a week.

The first time you checked you had 245 $.

With each passing week, the value is divided by 5-.

How much money will Alejandra have when she reviews the account after 3 weeks?

To solve this problem, we'll follow the steps of dividing the account balance by -5 for each of the three weeks:

Step-by-step Calculation:

Initial balance: $\245 \)$
Week 1: Calculate $245 \div (-5) = -49$ .
This indicates that after the first week, the account has a negative balance of $-49$ , meaning a debt or overdraft of \49.
Week 2: Calculate $$(-49) \div (-5) = 9.8$ .
Since negative divided by negative gives a positive, Alejandra's balance is $\9.8 $$ , recovering part of the overdraft.
Week 3: Calculate $9.8 \div (-5) = -1.96$ .
This results in a negative balance of $-1.96$ , indicating Alejandra is again in debt or overdraft of slightly less than \$2.

Convert $-1.96$ to a mixed number: $-1\frac{24}{25}$ .

Conclusion: After 3 weeks, Alejandra will have $-1\frac{24}{25}$ in her account, reflecting an overdraft.

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