Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take her account to reach $343?

1 answer

To solve this problem, we need to find the number of weeks it will take Destiny's account to reach $343.

We start with an initial amount of $100 in her account and each week she deposits an additional $27.

Let's create an equation to represent this situation:
100 + 27w = 343

Here, w represents the number of weeks it will take her account to reach $343.

To solve for w, we can subtract 100 from both sides of the equation:
27w = 343 - 100
27w = 243

Finally, divide both sides of the equation by 27 to solve for w:
w = 243 /27
w = 9

Therefore, it will take Destiny's account 9 weeks to reach $343.