Solve the following real world problem: destiny open a checking account with $100 and then deposits 27. How many weeks will it take for her account to reach $343.

1 answer

To solve this problem, we need to find out how much money Destiny will deposit each week and how many weeks it will take for her account to reach $343, starting from an initial balance of $100.

Let's start by finding out how much money Destiny will deposit each week. The total amount of money she will deposit is the difference between the final balance and the initial balance.

Final balance = $343
Initial balance = $100

Amount to be deposited = Final balance - Initial balance
Amount to be deposited = $343 - $100
Amount to be deposited = $243

Now, we need to determine how many weeks it will take for Destiny's account to reach $343. Since the amount to be deposited is $243 and this will be deposited over a certain number of weeks, we can divide this amount by the number of weeks to find out how much she will deposit each week.

Amount to be deposited per week = $243 / (number of weeks)

We want to find out the number of weeks, so we can rearrange the equation:

Number of weeks = $243 / Amount to be deposited per week

From the information given, we know that Destiny deposits $27 each time. So, we can substitute this value into the equation:

Number of weeks = $243 / $27

Now, we can divide $243 by $27 to find out the number of weeks it will take for Destiny's account to reach $343.

Number of weeks = 9 weeks

Therefore, it will take 9 weeks for Destiny's account to reach $343 if she starts with an initial balance of $100 and deposits $27 each week.