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 first need to determine the difference between the initial amount in the account and the desired amount.
Desired amount = $343
Initial amount = $100
Difference = Desired amount - Initial amount = $343 - $100 = $243
Since Destiny deposits $27 each week, we need to divide the difference by the weekly deposit amount to find out the number of weeks it will take to reach $343.
Number of weeks = Difference / Weekly deposit amount = $243 / $27 = 9 weeks
Therefore, it will take Destiny 9 weeks to reach $343 in her account.
To solve this real-world problem, we need to find out the number of weeks it will take for Destiny's account to reach $343.
Here's a step-by-step explanation of how to solve the problem:
1. Destiny opens a checking account with $100.
2. Then, she deposits $27 each week.
Now, let's find out how many weeks it will take for her account to reach $343.
We can set up an equation to represent this situation:
Initial amount + (Amount deposited each week * Number of weeks) = Final amount
The initial amount is $100, the amount deposited each week is $27, and the final amount is $343. We want to find the number of weeks, which will be our variable.
$100 + ($27 * Number of weeks) = $343
Now, we can solve for the number of weeks:
$27 * Number of weeks = $343 - $100
$27 * Number of weeks = $243
To find the value of the number of weeks, divide both sides of the equation by $27:
(Number of weeks) = $243 / $27
(Number of weeks) = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343 if she deposits $27 each week.
To find out how many weeks it will take Destiny's account to reach $343, we can set up an equation.
Let's assume the number of weeks needed is represented by "x".
Initially, Destiny's account has $100, and each week she deposits an additional $27. So, the total amount in her account after "x" weeks can be expressed as:
Total amount = Initial amount + (Amount deposited each week * Number of weeks)
343 = 100 + (27 * x)
Now, we can solve this equation to find the value of "x."
343 - 100 = 27x
243 = 27x
Dividing both sides by 27:
243/27 = x
9 = x
Therefore, it will take Destiny 9 weeks for her account to reach $343.