Sove the following real-world problem: Destiny opens a checking account with $200 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. Let's represent the number of weeks as "w".

Given that Destiny deposits $27 each week, the total amount in her account after w weeks would be 200 + 27w.

We want to find the number of weeks it takes for the account to reach $343, so we can set up the following equation:

200 + 27w = 343

To isolate the variable, we can subtract 200 from both sides:

27w = 343 - 200
27w = 143

Finally, we can solve for w by dividing both sides by 27:

w = 143/27
w ≈ 5.296

Since we cannot have a fraction of a week, we need to round up to the nearest whole number.

It will take Destiny approximately 6 weeks for her account to reach $343.