To find out how many paints Lucia bought, we can set up the equation as follows:
Let \( x \) be the number of paints she bought.
The total amount she spent can be expressed as: \[ 20 + 3x = 38 \]
Here, $20 is the cost of the canvas, and \( 3x \) is the total cost of the paints (where each paint costs $3).
Now, we can solve the equation for \( x \):
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Subtract 20 from both sides: \[ 3x = 38 - 20 \] \[ 3x = 18 \]
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Divide both sides by 3: \[ x = \frac{18}{3} \] \[ x = 6 \]
So, Lucia bought 6 paints.