Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259?

Answer 1

To determine how many weeks it will take for Maria's savings account to reach $259, we can set up the following equation based on her initial deposit and weekly savings.

1. Maria starts with an initial deposit of $50.
2. She saves $19 per week.

Let \( w \) represent the number of weeks. The total amount in her account after \( w \) weeks can be expressed as: \[ \text{Total amount} = 50 + 19w \] We want to find \( w \) when the total amount equals $259: \[ 50 + 19w = 259 \]

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

1. Subtract 50 from both sides: \[ 19w = 259 - 50 \] \[ 19w = 209 \]

2. Now, divide both sides by 19: \[ w = \frac{209}{19} \] \[ w = 11 \]

Thus, it will take Maria 11 weeks for her account to reach $259.