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This equation shows how the total number of pieces Rita has learned depends on the number of weeks she has taken piano lessons.

p = 2w

The variable w represents the number of weeks she has taken piano lessons, and the variable p represents the total number of pieces she has learned. In all, how many weeks of piano lessons will Rita need before she will be able to play a total of 6 pieces?

1 answer

To find out how many weeks of piano lessons Rita will need to play a total of 6 pieces, we can use the equation given:

\[ p = 2w \]

where \( p \) is the total number of pieces learned and \( w \) is the number of weeks. We want to determine \( w \) when \( p = 6 \).

Substituting \( p = 6 \) into the equation gives:

\[ 6 = 2w \]

Now, we can solve for \( w \):

  1. Divide both sides by 2:

    \[ w = \frac{6}{2} \]

  2. Simplify:

    \[ w = 3 \]

Thus, Rita will need to take 3 weeks of piano lessons to learn a total of 6 pieces.