Destiny opens a checking account with 100 and then deposits $27 each week. How many weeks will it take for her account to reach $343

1 answer

To determine how many weeks it will take for Destiny's checking account to reach $343, we can set up the following equation.

Initially, she has $100 in her account, and she deposits $27 each week. Let \( w \) represent the number of weeks. The total amount in her account after \( w \) weeks can be represented as:

\[ \text{Total amount} = 100 + 27w \]

We want to find \( w \) when the total amount reaches $343:

\[ 100 + 27w = 343 \]

Now, we can solve for \( w \):

  1. Subtract 100 from both sides:

\[ 27w = 343 - 100 \] \[ 27w = 243 \]

  1. Divide both sides by 27:

\[ w = \frac{243}{27} \] \[ w = 9 \]

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