Solve the following real-world problem destiny opens a checking account with $100 dollars and than deposit $27 dollars each week how many weeks will it take for her account to reach $343

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

Let "x" represent the number of weeks it takes for Destiny's account to reach $343.

The initial balance in her checking account is $100.

Each subsequent week, she deposits $27.

So, after x weeks, her account balance can be represented by the equation:

100 + 27x = 343

To find the value of x, we need to isolate it on one side of the equation:

27x = 343 - 100
27x = 243

Next, we divide both sides by 27 to solve for x:

x = 243/27
x = 9

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