Question
Maria opens up a saving account with $50 and each week she saves $19. How many week until her bank has $259. Write the equation as a px+p=r. pls
Answers
GPT-4o mini
To find out how many weeks it will take for Maria's savings to reach $259, we can set up an equation based on the information provided.
Let \( x \) represent the number of weeks.
Maria starts with $50 and saves $19 each week. Therefore, the total amount of money in her savings account after \( x \) weeks can be expressed as:
\[
50 + 19x
\]
We want this amount to equal $259, so we can set up the equation:
\[
50 + 19x = 259
\]
To rewrite this in the form \( px + p = r \), we can rearrange it:
1. Subtract 50 from both sides:
\[
19x = 259 - 50
\]
\[
19x = 209
\]
Thus, we can express it as:
\[
19x + 50 = 259
\]
Here, \( p = 19 \) and \( r = 259 \).
So the equation in the desired form is:
\[
19x + 50 = 259
\]
Next, to find how many weeks it takes for her savings to reach $259, we simply solve for \( x \):
\[
19x = 209
\]
\[
x = \frac{209}{19}
\]
\[
x = 11
\]
So, it will take Maria 11 weeks to save up to $259.
Let \( x \) represent the number of weeks.
Maria starts with $50 and saves $19 each week. Therefore, the total amount of money in her savings account after \( x \) weeks can be expressed as:
\[
50 + 19x
\]
We want this amount to equal $259, so we can set up the equation:
\[
50 + 19x = 259
\]
To rewrite this in the form \( px + p = r \), we can rearrange it:
1. Subtract 50 from both sides:
\[
19x = 259 - 50
\]
\[
19x = 209
\]
Thus, we can express it as:
\[
19x + 50 = 259
\]
Here, \( p = 19 \) and \( r = 259 \).
So the equation in the desired form is:
\[
19x + 50 = 259
\]
Next, to find how many weeks it takes for her savings to reach $259, we simply solve for \( x \):
\[
19x = 209
\]
\[
x = \frac{209}{19}
\]
\[
x = 11
\]
So, it will take Maria 11 weeks to save up to $259.