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Split the Check, No Tip

Three men were in a resturant and decided to split the bill equally between them. By doing so Joe had to pay an extra 15 cents, Jack saved 21 cents. They turned to Tom and said: "What you had would have cost you a dollar sixty-five, so you don't lose much."

Can you work out the details of the total bill?


Source: G. Brandreth's The Puzzle Mountain. 1981

Hint: Assume that each person paid x dollars, then try to set up an equation representing the given information.


Solution Commentary: Do you see why this is a relevant equation?

3x = (x-15) + (x+21) + (1.65)
What is the meaning of each term on the right side? Then...