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?(1 point)
To solve this problem, we need to find the number of weeks it will take for Destiny's account balance to reach $343.
Let's set up an equation to represent the problem:
$100 + $27w = $343
Subtracting $100 from both sides, we have:
$27w = $343 - $100
$27w = $243
Dividing both sides by $27, we get:
w = $243 / $27
w = 9
Therefore, it will take Destiny 9 weeks for her account balance to reach $343.
To solve this problem, we need to determine how many weeks it will take for Destiny's account to reach $343 starting from an initial deposit of $100 and adding $27 each week.
Let's break it down step by step:
1. Subtract the initial deposit from the target amount to find the remaining amount needed.
Target amount = $343
Initial deposit = $100
Remaining amount = Target amount - Initial deposit = $343 - $100 = $243
2. Divide the remaining amount by the weekly deposit amount to find the number of weeks required.
Weekly deposit amount = $27
Number of weeks = Remaining amount / Weekly deposit amount = $243 / $27 = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343 with a starting deposit of $100 and adding $27 each week.
To solve this real-world problem, we need to determine the number of weeks it will take for Destiny's account balance to reach $343.
Let's break down the given information:
- Destiny opens a checking account with $100.
- Destiny deposits $27 each week.
To find the number of weeks it takes for her account to reach $343, we can set up an equation.
Let's denote the number of weeks as 'w' and the account balance at the end of each week as 'b'.
Since Destiny deposits $27 each week, her account balance increases by $27 every week. Thus, we can represent the account balance after a given number of weeks (w) using the equation:
b = 27w + 100
We know that she wants her account to reach $343, so we can set up the following equation:
343 = 27w + 100
To solve this equation for 'w', we can subtract 100 from both sides:
343 - 100 = 27w
Simplifying the equation:
243 = 27w
Now, dividing both sides by 27:
243/27 = w
After simplifying, we find that:
w = 9
Therefore, it will take Destiny 9 weeks for her account balance to reach $343.