To find the cost of the red shirt, we can set up the equation based on the information given in the problem:
- The cost of the blue shirt is $13.
- The blue shirt costs $2.50 more than the red shirt.
Let \( R \) represent the cost of the red shirt. According to the problem, we can express the cost of the blue shirt in terms of \( R \):
\[ R + 2.50 = 13 \]
Now, we can solve for \( R \):
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Subtract 2.50 from both sides of the equation: \[ R = 13 - 2.50 \]
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Calculate the right side: \[ R = 10.50 \]
So, the cost of the red shirt is $10.50.