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?

Answer 1

To solve this problem, we can set up an equation to represent the situation.

Let's assume that after "w" number of weeks, Destiny's account will reach $343. We know that initially she opens the account with $100 and then deposits $27 each week.

So, the equation representing this situation would be:
100 + 27w = 343

Now, we need to solve this equation to find the value of "w".

Subtracting 100 from both sides:
27w = 343 - 100
27w = 243

Finally, dividing both sides by 27:
w = 243 / 27
w = 9

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