Jamie opens a bank account with $40. She adds $17 each week. How many weeks will it take her to save $176 in her account?

Answer 1

To find out how many weeks it will take Jamie to save $176 in her account, we can set up the following equation based on her deposits:

1. Initial amount: Jamie starts with $40.
2. Amount added weekly: She adds $17 each week.

Let \( w \) represent the number of weeks. The total amount in her account after \( w \) weeks can be expressed as:

\[ \text{Total amount} = 40 + 17w \]

We want to find \( w \) when the total amount equals $176:

\[ 40 + 17w = 176 \]

Next, we subtract 40 from both sides to isolate the term with \( w \):

\[ 17w = 176 - 40 \] \[ 17w = 136 \]

Now, divide both sides by 17 to solve for \( w \):

\[ w = \frac{136}{17} = 8 \]

Thus, it will take Jamie 8 weeks to save $176 in her account.