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

Let's represent the given information using an equation in the form \( px + q = r \).

1. Let \( x \) represent the number of weeks.
2. Maria starts with $50, which we can represent as \( q \).
3. Each week, she saves an additional $19, which we represent as \( px \) where \( p = 19 \).
4. We want to find out how many weeks it will take for her account to reach $259, which we represent as \( r \).

The equation representing her total savings after \( x \) weeks can be written as:

\[
19x + 50 = 259
\]

Now, this is in the form \( px + q = r \) where:
- \( p = 19 \)
- \( q = 50 \)
- \( r = 259 \)

This is the equation representing the problem. To find the number of weeks \( x \), we can solve the equation:

1. Subtract 50 from both sides:

\[
19x = 259 - 50
\]

\[
19x = 209
\]

2. Now, divide by 19:

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

\[
x = 11
\]

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