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Toony Tunes charges $0.95 for each song you download. Up With Downloads charges $0.55 for each song but also charges an annual membership fee of $60. How many songs must a customer download in a year so that the cost will be the same at both websites?

A. 300 songs
B. 400 songs
C. 500 songs
D. 600 songs

1 Answer

6 votes

Final answer:

To find the break-even point for song downloads between Toony Tunes and Up With Downloads, set up an equation 0.95n = 0.55n + 60 and solve for 'n'. However, the obtained answer isn't listed in the options, suggesting an error in the given data or calculation.

Step-by-step explanation:

To determine the number of songs a customer must download for the cost to be the same at both Toony Tunes and Up With Downloads, let's set up an equation to represent the total cost from each website. The cost of downloading songs from Toony Tunes is $0.95 per song without any membership fees. On the other hand, Up With Downloads charges $0.55 per song plus a $60 annual membership fee.

Let's call the number of songs downloaded 'n'. For Toony Tunes, the total cost would be 0.95n. For Up With Downloads, the total cost is 0.55n + 60. We want to find the point at which these two costs are equal, so we set up the equation 0.95n = 0.55n + 60 and solve for 'n'.

Step-by-step equation:

  1. Move all terms involving 'n' to one side: 0.95n - 0.55n = 60.
  2. Simplify the equation: 0.40n = 60.
  3. Divide both sides by 0.40 to solve for 'n': n = 60 / 0.40.
  4. Perform the division: n = 150.

However, this answer is not one of the provided options, indicating there may be an error in the provided information or in the calculation. Please review the question and the steps involved to ensure accuracy.

User Gustavo Reyes
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