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At a pancake breakfast, children are served 22 pancakes and adults are served 33 pancakes. Together, they can be served at most 153153 pancakes, the total number made by the chef.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of children\newliney=y = the number of adults\newline\newlineChoices:\newline(A) 3x+2y≤1533x + 2y \leq 153\newline(B) 2x+3y≥1532x + 3y \geq 153\newline(C) 2x+3y≤1532x + 3y \leq 153\newline(D) 3x+2y≥1533x + 2y \geq 153

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Q. At a pancake breakfast, children are served 22 pancakes and adults are served 33 pancakes. Together, they can be served at most 153153 pancakes, the total number made by the chef.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of children\newliney=y = the number of adults\newline\newlineChoices:\newline(A) 3x+2y≤1533x + 2y \leq 153\newline(B) 2x+3y≥1532x + 3y \geq 153\newline(C) 2x+3y≤1532x + 3y \leq 153\newline(D) 3x+2y≥1533x + 2y \geq 153
  1. Calculate Pancakes per Person: Determine the number of pancakes served to each child and adult. Children are served 22 pancakes each, so for xx children, the total number of pancakes served to children is 2x2x. Adults are served 33 pancakes each, so for yy adults, the total number of pancakes served to adults is 3y3y.
  2. Combine Total Pancakes: Combine the total pancakes for children and adults to form an expression for the total number of pancakes served.\newlineTotal pancakes served to children: 2x2x\newlineTotal pancakes served to adults: 3y3y\newlineTotal pancakes served to both: 2x+3y2x + 3y
  3. Set Inequality Constraint: We know that the chef made at most 153153 pancakes, so the total number of pancakes served cannot exceed this number.\newlineThis means that the total number of pancakes served to both children and adults must be less than or equal to 153153.\newlineInequality: 2x+3y≤1532x + 3y \leq 153

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