Question

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 .

259+50=19x
259 plus 50 equals 19 x

19x−50=259
19 x minus 50 equals 259

19x+50=259
19 x plus 50 equals 259

50x+19=259

Answer 1

To find how many weeks it will take for Maria's account to reach $259, you can set up the equation by considering the initial amount she deposited and the weekly savings.

Here’s the step-by-step breakdown:

1. **Initial deposit**: $50
2. **Weekly savings**: $19 per week
3. **Target amount in the account**: $259

We need an equation to find the number of weeks (\(x\)) it takes for Maria to have $259 in her account.

Each week, Maria saves $19, and she started off with $50. Therefore, after \(x\) weeks, her savings can be represented by:

\[ 50 + 19x \]

We set this equal to the target amount, $259:

\[ 50 + 19x = 259 \]

This equation fits the required format \( px+q=r \) where:
- \( p = 19 \) (amount saved per week)
- \( q = 50 \) (initial deposit)
- \( r = 259 \) (target amount)

So, the correct equation is:

\[ 19x + 50 = 259 \]

To solve for \( x \):

1. Subtract 50 from both sides:

\[ 19x = 209 \]

2. Divide by 19:

\[ x = \frac{209}{19} \]

\[ x = 11 \]

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