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? Represent this problem with an equation in the form px + q = r (1 point)

Answer 1

Let's denote the number of weeks that Maria saves money as \( x \).

According to the problem, Maria starts with $50 in her savings account and then adds $19 each week. We want to find out how many weeks it will take for her to reach a total of $259 in her savings account.

The equation representing this situation can be written as follows:

\( \text{Initial amount} + (\text{weekly savings} \times \text{number of weeks}) = \text{Total amount} \)

So, plugging in our known values:

\( 50 + 19x = 259 \)

This equation is now in the form \( px + q = r \), where \( p = 19 \), \( q = 50 \), and \( r = 259 \).

To find the number of weeks, we need to solve for \( x \):

\[
\begin{align*}
19x + 50 &= 259 \\
19x &= 259 - 50 \\
19x &= 209 \\
x &= \frac{209}{19} \\
x &= 11
\end{align*}
\]

So, it will take Maria 11 weeks to save $259.