Question 1: To determine the maximum number of bracelets \( x \) that Mr. Gonzales can buy while staying within his budget, we can use the following equation:
\[ 3.50x + 22 = 36 \]
This equation accounts for the cost of the shirt ($22) and the cost of the bracelets ($3.50 each).
Question 2: Now, to solve the equation \( 3.50x + 22 = 36 \):
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Subtract 22 from both sides: \[ 3.50x = 36 - 22 \] \[ 3.50x = 14 \]
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Divide both sides by 3.50: \[ x = \frac{14}{3.50} \] \[ x = 4 \]
So, the number of bracelets \( x \) Mr. Gonzales could buy is:
x = 4