Solve the following real word problem destiny open a checking account with $100 and then deposit $27 each week. How many weeks will it take her account to reach $343
To solve this problem, we need to find the number of weeks it will take for Destiny's account balance to reach $343.
Initially, Destiny has $100 in her account. Each week, she deposits an additional $27.
Let's assume it will take "x" weeks for her account balance to reach $343.
After the first week, her account balance will be:
$100 (initial balance) + $27 (deposit) = $127
After the second week, her account balance will be:
$127 (previous balance) + $27 (deposit) = $154
Following this pattern, we can write the equation:
100 + 27x = 343
To solve for x, we need to isolate it. First, subtract 100 from both sides of the equation:
27x = 343 - 100
27x = 243
Next, divide both sides of the equation by 27:
x = 243 / 27
x = 9
Therefore, it will take Destiny 9 weeks for her account balance to reach $343.
To determine the number of weeks it will take for Destiny's account to reach $343, we can set up an equation.
Let's assume the number of weeks required is represented by "x."
Given that Destiny opens a checking account with $100 and deposits $27 each week, we can write the equation as follows:
$100 + $27x = $343
To solve for x, we need to isolate x on one side of the equation.
$27x = $343 - $100
$27x = $243
Now, divide both sides of the equation by $27:
x = $243 / $27
Simplifying the calculation:
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this problem, we need to figure out how many weeks it will take for Destiny's account to reach $343.
First, we need to determine how much her account grows each week. Destiny starts with $100 and deposits $27 each week. So, her account grows by $27 every week.
We can express this relationship using an equation:
Account balance = Starting balance + (Weekly deposit * Number of weeks)
In this case, the account balance we're aiming for is $343. The starting balance is $100, and the weekly deposit is $27.
343 = 100 + (27 * Number of weeks)
Next, we isolate the variable "Number of weeks" by subtracting 100 from both sides of the equation:
343 - 100 = 27 * Number of weeks
243 = 27 * Number of weeks
To solve for the Number of weeks, divide both sides of the equation by 27:
243 / 27 = Number of weeks
9 = Number of weeks
Therefore, it will take Destiny 9 weeks for her account to reach $343.