First, we need to determine how much more Dennis needs to sell to reach the $175 goal.
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Calculate the difference: \[ 175 - 40 = 135 \] This means that Dennis needs to sell an additional $135 worth of chocolate bars.
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Next, determine how many chocolate bars he needs to sell to earn that $135. Each chocolate bar sells for $2.50, so we can find the number of bars by dividing the amount he needs by the price per bar: \[ \frac{135}{2.50} = 54 \]
Thus, Dennis needs to sell 54 more chocolate bars to win the prize.