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Dennis has sold $40 worth of chocolate bars for a fundraiser. if he sells over $175 worth of chocolate, he'll win a prize. each bar is $2.50. how many more bars does he need to sell in order to win a prize

give me the equation first

1 answer

To find out how many more chocolate bars Dennis needs to sell in order to win a prize, we can set up the equation based on his current sales and the target amount he needs to exceed.

  1. Current Sales: Dennis has already sold $40 worth of chocolate bars.
  2. Target Sales: He needs to exceed $175.

Let \( x \) be the number of additional chocolate bars Dennis needs to sell. Given that each chocolate bar costs $2.50, the value of the additional bars sold is \( 2.50x \).

The equation can be set up as:

\[ 40 + 2.50x > 175 \]

This equation represents the condition for Dennis to win a prize.