To find out how many weeks it will take for Maria's savings to reach $259, we can set up an equation based on the information provided.
Let \( x \) represent the number of weeks.
Maria starts with $50 and saves $19 each week. Therefore, the total amount of money in her savings account after \( x \) weeks can be expressed as:
\[ 50 + 19x \]
We want this amount to equal $259, so we can set up the equation:
\[ 50 + 19x = 259 \]
To rewrite this in the form \( px + p = r \), we can rearrange it:
- Subtract 50 from both sides:
\[ 19x = 259 - 50 \] \[ 19x = 209 \]
Thus, we can express it as:
\[ 19x + 50 = 259 \]
Here, \( p = 19 \) and \( r = 259 \).
So the equation in the desired form is:
\[ 19x + 50 = 259 \]
Next, to find how many weeks it takes for her savings to reach $259, we simply solve for \( x \):
\[ 19x = 209 \] \[ x = \frac{209}{19} \] \[ x = 11 \]
So, it will take Maria 11 weeks to save up to $259.