Hasan, withdrawing $30 weekly from $300 savings, depletes his account in 10 weeks. The equation
is solved, indicating it takes 10 weeks for his savings to reach $0.
the equation we derived earlier:
![\[300 - 30n = 0\]](https://img.qammunity.org/2024/formulas/mathematics/college/js5ffobb9m3lcvaifq5659cg1i13kxktbl.png)
Start with the equation representing Hasan's savings after 'n' weeks.
![\[300 - 30n = 0\]](https://img.qammunity.org/2024/formulas/mathematics/college/js5ffobb9m3lcvaifq5659cg1i13kxktbl.png)
To isolate 'n' (the number of weeks), let's move the constant term (300) to the other side by subtracting it from both sides of the equation.
![\[300 - 300 - 30n = 0 - 300\]](https://img.qammunity.org/2024/formulas/mathematics/college/bjh0hiuxvylfuci4hdlsn45lrd50str474.png)
![\[0 - 30n = -300\]](https://img.qammunity.org/2024/formulas/mathematics/college/y3uv7a302ltsdbrfwwvjhvpnq4hwhgje6k.png)
Simplify the equation by dividing both sides by -30 to solve for 'n'.
![\[(0)/(-30) = (-300)/(-30)\]](https://img.qammunity.org/2024/formulas/mathematics/college/6ee2hqa1mjxtj1i7u4toxjxj7wphjy4qm4.png)
![\[n = (300)/(30)\]](https://img.qammunity.org/2024/formulas/mathematics/college/g4ckjs4dde2at0rpezlm13eeio35x7xfcw.png)
![\[n = 10\]](https://img.qammunity.org/2024/formulas/mathematics/college/70p6z49rab0dbxa85sxbozhkt5xcdhscun.png)
So, after solving step by step, we find that 'n' is 10. It will take Hasan 10 weeks to have $0 in his savings account by withdrawing $30 every week without replenishing it.
complete the question
Hasan has $300 in his savings account. Each week, he withdraws $30 from his account without replenishing it.
How many weeks will it take for Hasan to have no money left in his savings account?