To find the correct equation that represents Mr. Gonzales's situation, we need to consider the total amount he has to spend, which is $36. He wants to buy one shirt for $22 and some bracelets for $3.50 each.
Let \( x \) be the number of bracelets. The cost of the shirt and the bracelets together should equal the total amount he has:
\[ 22 + 3.50x = 36 \]
This simplifies to the equation:
\[ 3.50x + 22 = 36 \]
So the correct answer for the equation is:
3.50x + 22 = 36
Now, let's solve this equation for \( x \):
- Subtract 22 from both sides:
\[ 3.50x = 36 - 22 \]
\[ 3.50x = 14 \]
- Divide both sides by 3.50:
\[ x = \frac{14}{3.50} \]
\[ x = 4 \]
Thus, Mr. Gonzales can buy 4 bracelets.