To solve this problem, we first need to identify the variables and establish relationships based on the information given.
Let \( x \) be the cost of each bag of lemons.
Robert buys 5 bags of lemons, thus the total cost for lemons can be written as: \[ 5x \]
Robert pays a total of $24.36 for both cheese and lemons. We know that he paid $5.31 for the cheese. Therefore, the equation relating the total cost and the costs of cheese and lemons is: \[ 5.31 + 5x = 24.36 \]
Now, we can solve for \( x \):
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Subtract the cost of the cheese from the total amount: \[ 5x = 24.36 - 5.31 \] \[ 5x = 19.05 \]
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Divide both sides by 5 to find \( x \): \[ x = \frac{19.05}{5} \] \[ x = 3.81 \]
Thus, each bag of lemons costs $3.81.