Question

Shenika is selling magazine subscriptions for the animal shelter. A yearly subscription to a story magazine is $12.50. A yearly subscription to a puzzle magazine is $14. She raised a total of $1,225 for the animal shelter. The number of subscriptions to the story magazine, s, is 20 more than twice the number of subscriptions to the puzzle magazine, p. Which system of equations finds the number of each magazine sold?
14 s + 12.50 p = 1,225. s = 2 p + 20.
12.50 s + 14 p = 1,225. s = 2 p + 20.
14 s + 12.50 p = 1,225. p = 2 s + 20.
12.50 s + 14 p = 1,225. p = 2 s + 20.

Answer 1

To create the correct system of equations based on the information provided:

1. We know that the yearly subscription to the story magazine is \( s \) and costs $12.50, while the puzzle magazine is \( p \) and costs $14. The total amount raised is $1,225.

So, the equation representing the total money from both types of subscriptions is:
\[
12.50 s + 14 p = 1225
\]

2. It is given that the number of subscriptions to the story magazine is 20 more than twice the number of subscriptions to the puzzle magazine. This can be expressed as:
\[
s = 2p + 20
\]

Now, let's check the options you provided:

- **Option 1:** \( 14 s + 12.50 p = 1,225 \), \( s = 2 p + 20 \) (Incorrect)
- **Option 2:** \( 12.50 s + 14 p = 1,225 \), \( s = 2 p + 20 \) (Correct)
- **Option 3:** \( 14 s + 12.50 p = 1,225 \), \( p = 2 s + 20 \) (Incorrect)
- **Option 4:** \( 12.50 s + 14 p = 1,225 \), \( p = 2 s + 20 \) (Incorrect)

Thus, the correct system of equations is:
\[
12.50 s + 14 p = 1,225
\]
\[
s = 2 p + 20
\]

So, **Option 2** is correct.