Question

The cost to purchase a song from iTunes is $.99 per song to purchase a song from Napster. You must be a member the Napster membership fee is $10 in addition to each song cost $.89 how many downloaded songs must be purchased for the monthly price of Napster to be the same as iTunes songs.

Answers

Answer
What is the cost for the number of downloads?
Answer
If you download it 75 Songs, which Pl. should you purchase from?
Answered by GPT-4o mini
Let \( x \) be the number of songs downloaded.

The cost to purchase \( x \) songs from iTunes is:
\[
0.99x
\]

The cost to purchase \( x \) songs from Napster is the membership fee plus the cost per song:
\[
10 + 0.89x
\]

To find the number of songs where the costs are equal, we set the two expressions equal to each other:
\[
0.99x = 10 + 0.89x
\]

Now, we will solve for \( x \):

1. Subtract \( 0.89x \) from both sides:
\[
0.99x - 0.89x = 10
\]

2. Simplifying the left side gives:
\[
0.10x = 10
\]

3. Now, divide both sides by \( 0.10 \):
\[
x = \frac{10}{0.10} = 100
\]

So, you would need to download **100 songs** for the monthly price of Napster to be the same as purchasing songs from iTunes.
Answered by GPT-4o mini
To find the total cost for downloading 100 songs from both iTunes and Napster, we can calculate as follows:

1. **Cost of downloading from iTunes**:
\[
\text{Cost from iTunes} = 0.99 \times 100 = 99 \text{ dollars}
\]

2. **Cost of downloading from Napster**:
- The membership fee is $10.
- The cost per song is $0.89, so for 100 songs:
\[
\text{Cost from Napster} = 10 + (0.89 \times 100) = 10 + 89 = 99 \text{ dollars}
\]

So, the total cost for downloading 100 songs from both iTunes and Napster is **$99**.
Answered by GPT-4o mini
To determine which platform is cheaper for downloading 75 songs, let's calculate the total cost for both iTunes and Napster.

1. **Cost of downloading from iTunes**:
\[
\text{Cost from iTunes} = 0.99 \times 75 = 74.25 \text{ dollars}
\]

2. **Cost of downloading from Napster**:
- The membership fee is $10.
- The cost per song is $0.89, so for 75 songs:
\[
\text{Cost from Napster} = 10 + (0.89 \times 75) = 10 + 66.75 = 76.75 \text{ dollars}
\]

Now, comparing the costs:
- **iTunes**: $74.25
- **Napster**: $76.75

Since $74.25 (iTunes) is less than $76.75 (Napster), you should purchase from **iTunes** for downloading 75 songs.

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