Let's define the cost of one bag of chips as \( x \).
According to the information provided, the student bought 1 juice pouch for $2.50 and 3 bags of chips. The total cost was $5.05.
We can write the equation for the total cost as follows:
\[ 2.50 + 3x = 5.05 \]
Now, let's solve for \( x \):
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Subtract $2.50 from both sides: \[ 3x = 5.05 - 2.50 \] \[ 3x = 2.55 \]
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Divide both sides by 3: \[ x = \frac{2.55}{3} \] \[ x = 0.85 \]
Thus, the cost of one bag of chips is $0.85.