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At a pancake breakfast, children are served 11 pancake and adults are served 55 pancakes. Together, they can be served at most 145145 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) x−5y≥145x - 5y \geq 145\newline(B) x+5y≤145x + 5y \leq 145\newline(C) x−5y≤145x - 5y \leq 145\newline(D) x+5y≥145x + 5y \geq 145

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Q. At a pancake breakfast, children are served 11 pancake and adults are served 55 pancakes. Together, they can be served at most 145145 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) x−5y≥145x - 5y \geq 145\newline(B) x+5y≤145x + 5y \leq 145\newline(C) x−5y≤145x - 5y \leq 145\newline(D) x+5y≥145x + 5y \geq 145
  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 55 pancakes each, so for yy adults, they get 5y5y pancakes.\newlineCalculation: 55 pancakes/adult ×y\times y adults = 5y5y pancakes.
  3. Total Pancake Limit Calculation: The total number of pancakes served cannot exceed 145145.\newlineCalculation: xx pancakes for children + 5y5y pancakes for adults ≤145\leq 145 pancakes.
  4. Combine Calculations for Inequality: Combine the calculations for children and adults to form the inequality.\newlineCalculation: x+5y≤145x + 5y \leq 145.

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