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Eva spent $12.48 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find x, the number of songs that she downloaded. Which student wrote and solved the equation correctly? (1 point)ResponsesAnna's Workx1.29=12.48x=13.77 Anna's Work x over 1 point 2 9 is equal to 12 point 4 8 x is equal to 13 point 7 7 Megan's Workx1.29=12.48x=16 Megan's Work x over 1 point 2 9 is equal to 12 point 4 8 x is equal to 16 Mary's Work1.29x=12.48x=9 Mary's Work 1 point 2 9 x is equal to 12 point 4 8 x is equal to 9 Josh's Work1.29x=12.48x=10

1 answer

To find the correct equation and solution for the problem, we can set up the equation based on the given information.

The cost per song is $1.29, and Eva spent $12.48 in total. Therefore, we can express the relationship with the equation:

\[ 1.29x = 12.48 \]

Now, let's solve for \( x \):

  1. Divide both sides by 1.29:

\[ x = \frac{12.48}{1.29} \]

Calculating that value:

\[ x = 9.69 (approximately) \]

Since \( x \) must be a whole number (as you cannot download a fraction of a song), we round this down to \( x = 9 \).

Now let’s evaluate the students’ work:

  1. Anna's Work: 1.29 = 12.48 and concludes x = 13.77 (this is incorrect).

  2. Megan's Work: 1.29 = 12.48 and concludes x = 16 (this is incorrect).

  3. Mary's Work: 1.29x = 12.48 and correctly concludes x = 9 (this is correct).

  4. Josh's Work: 1.29x = 12.48 and concludes x = 10 (this is incorrect).

Conclusion: Mary wrote and solved the equation correctly, obtaining \( x = 9 \).