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You buy pounds of s and pounds of s. s and s sell for the same price per pound. The total​ cost, after using ​-off ​coupon, is ​$. If c represents the cost of the fruit in dollars per​ pound, what equation could you use to find the value of​ c?

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Let's represent the pounds of \(s\) and \(s\) as \(x\) and \(y\) respectively.

Given that \(s\) and \(s\) sell for the same price per pound, let \(c\) represent the cost of the fruit in dollars per pound.

The total cost, after using a \( \% \)-off coupon, is represented by the equation:

\[ x \cdot c + y \cdot c = \text{Total Cost after Discount} \]

If the \( \% \)-off coupon represents a reduction of \( p \% \), then the total cost after the discount is \( (1 - \frac{p}{100}) \) times the original cost. Therefore, the equation becomes:

\[ (x \cdot c + y \cdot c) \cdot (1 - \frac{p}{100}) = \text{Total Cost} \]

This equation represents the relationship between the pounds of \(s\) and \(s\), the cost per pound \(c\), and the \( \% \)-off coupon.
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