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

1 answer

To solve this problem, we can use algebraic representation.

Let's denote the number of weeks it will take for Destiny's account to reach $343 as "w."

Given that Destiny opens the account with $100 and deposits an additional $27 each week, we can set up the equation:

100 + 27w = 343

Now, we can solve for "w."

Subtract 100 from both sides of the equation:
27w = 343 - 100
27w = 243

Divide both sides of the equation by 27:
w = 243 / 27
w = 9

Therefore, it will take Destiny 9 weeks for her account to reach $343.