At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable.(1 point)

2 answers

Let \( x \) represent the number of days.

For the first song, the total number of listens after \( x \) days can be expressed as: \[ 1000 + 38x \]

For the second song, the total number of listens after \( x \) days can be expressed as: \[ 900 + 40x \]

To find the number of days it would take for the two songs to have the same number of listens, we set the two expressions equal to each other: \[ 1000 + 38x = 900 + 40x \]

This equation can be solved to find \( x \).

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