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 in the form px+ Q = r

Answer 1

To represent the problem in the form \( px + Q = r \), we can start by identifying the variables and constants:

• Let \( x \) be the number of weeks.
• Maria starts with $50, so \( Q = 50 \).
• She saves $19 each week, so \( p = 19 \).
• She wants her account to reach $259, so \( r = 259 \).

Now we can set up the equation based on these values:

\[ 19x + 50 = 259 \]

This equation represents how the total amount in her savings account grows over time. Now, to solve for \( x \):

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

2. Divide both sides by 19: \[ x = \frac{209}{19} \] \[ x = 11 \]

So, it will take Maria 11 weeks to reach a total of $259 in her savings account.