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

1 answer

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.