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This equation shows how the total number of pieces Gordon knows how to sing depends on the number of weeks he takes voice lessons.

p = 2w + 10

The variable w represents the number of weeks he has taken voice lessons, and the variable p represents the total number of pieces he has learned. How many weeks of lessons will Gordon need before he will be able to sing a total of 18 pieces?

1 answer

To find out how many weeks of lessons Gordon needs to take in order to learn a total of 18 pieces, we can set \( p = 18 \) in the equation \( p = 2w + 10 \) and solve for \( w \).

  1. Substitute \( p \) with 18 in the equation:

    \[ 18 = 2w + 10 \]

  2. Next, subtract 10 from both sides:

    \[ 18 - 10 = 2w \] \[ 8 = 2w \]

  3. Now, divide both sides by 2:

    \[ w = \frac{8}{2} = 4 \]

So, Gordon will need to take 4 weeks of voice lessons before he will be able to sing a total of 18 pieces.