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At a pancake breakfast, children are served 11 pancake and adults are served 33 pancakes. Together, they can be served at most 112112 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\newlineChoices:\newline(A) 3x+y≤1123x + y \leq 112\newline(B) 3x + y < 112\newline(C) x + 3y < 112\newline(D) x+3y≤112x + 3y \leq 112

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Q. At a pancake breakfast, children are served 11 pancake and adults are served 33 pancakes. Together, they can be served at most 112112 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\newlineChoices:\newline(A) 3x+y≤1123x + y \leq 112\newline(B) 3x+y<1123x + y < 112\newline(C) x+3y<112x + 3y < 112\newline(D) x+3y≤112x + 3y \leq 112
  1. Children Pancake Calculation: Children get 11 pancake each, so for xx children, they get xx pancakes.\newlineCalculation: 11 pancake/child ×x\times x children = xx pancakes.
  2. Adults Pancake Calculation: Adults get 33 pancakes each, so for yy adults, they get 3y3y pancakes.\newlineCalculation: 33 pancakes/adult ×y\times y adults = 3y3y pancakes.
  3. Total Pancake Limit Calculation: The total number of pancakes served to both children and adults cannot exceed 112112.\newlineCalculation: xx pancakes for children + 3y3y pancakes for adults ≤112\leq 112 pancakes.
  4. Combine Calculations for Inequality: Combine the calculations for children and adults to form the inequality.\newlineCalculation: x+3y≤112x + 3y \leq 112.

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