Maria opens a saving account with $50 and the saves $19 each week. How many weeks will it take for her account to reach $259. Rresprent this problem with an equation from px + q = r

Answer 1

To represent Maria's savings problem using an equation of the form \(px + q = r\), we can define the variables and constants as follows:

• Let \(x\) be the number of weeks.
• The initial amount in her savings account is $50 (this is \(q\)).
• Each week, she saves an additional $19 (this is \(p\)).
• We want to find out when her total savings will reach $259 (this is \(r\)).

We can set up the equation based on this information:

\[ 19x + 50 = 259 \]

In this equation:

• \(p = 19\) (the amount saved each week),
• \(q = 50\) (the initial amount),
• \(r = 259\) (the target amount).

Now, to solve for \(x\), we can rearrange the equation:

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

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

Therefore, it will take Maria 11 weeks to reach $259 in her savings account.