Question

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 .

Answer 1

final answer?

Answer 2

To represent Maria's savings account situation with an equation in the form \( px + q = r \), we can define the variables and constants involved.

Let:
- \( x \) be the number of weeks Maria saves.
- \( p \) be the amount she saves each week, which is $19.
- \( q \) be the initial amount in her savings account, which is $50.
- \( r \) be the target amount she wants to reach, which is $259.

Based on this information, we can set up the equation:

\[
19x + 50 = 259
\]

In this equation:
- \( p = 19 \)
- \( q = 50 \)
- \( r = 259 \)

Now we have the equation in the required form \( px + q = r \).

Answer 3

The equation representing Maria's savings account situation is:

\[
19x + 50 = 259
\]

To answer the original question:

To find out how many weeks it will take for her account to reach $259, we can solve the equation:

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

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

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