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Problem of the Week
Problem D
How Much?

At a fundraiser hosted by a local restaurant, customers can pay as much or as little as they like for a meal, as long as they pay at least \(\$1\). Any profits are donated to a local charity. One evening, the mean (average) price paid per customer was \(\$55\). One more customer walked in and paid \(\$70\) for a meal, bringing the average up to \(\$56\). What is the highest possible price that a customer could have paid for their meal that evening? Do you think the amounts in your solution are reasonable for this situation?