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Jack's mother gave him 5050 chocolates to give to his friends at his birthday party. He gave 33 chocolates to each of his friends and still had 22 chocolates left. If xx is the number of friends at Jack's party, which of the following equations best describes the situation?

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Full solution

Q. Jack's mother gave him 5050 chocolates to give to his friends at his birthday party. He gave 33 chocolates to each of his friends and still had 22 chocolates left. If xx is the number of friends at Jack's party, which of the following equations best describes the situation?
  1. Define Variables and Situation: Let's define the variables and the situation:\newlineTotal chocolates given by Jack's mother: 5050\newlineChocolates given to each friend: 33\newlineChocolates left with Jack: 22\newlineNumber of friends: xx\newlineWe need to find an equation that represents the situation.
  2. Calculate Chocolates for Friends: We can start by expressing the total number of chocolates given to friends as a product of the number of friends and the chocolates per friend, which is 3x3x.
  3. Express Total Chocolates: Since Jack had 22 chocolates left after giving them to his friends, we can express the total chocolates as the sum of the chocolates given to friends (3x3x) and the chocolates left (22).
  4. Formulate Equation: The equation representing the total number of chocolates and how they were distributed is:\newline50=3x+250 = 3x + 2\newlineThis equation shows that the initial amount of chocolates (5050) is equal to the amount given to friends (3x3x) plus the chocolates left (22).

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