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

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

Let x be the number of weeks it will take for Destiny's account to reach $343.

We know that Destiny opens a checking account with $100 and deposits $27 each week. So, the amount in her account after x weeks can be represented by the equation:

100 + 27x = 343

To solve for x, we need to isolate it on one side of the equation. Subtracting 100 from both sides, we have:

27x = 343 - 100

27x = 243

Finally, to solve for x, we divide both sides of the equation by 27:

x = 243/27

x = 9

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