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Eldar cooks lasagna and spaghetti using pesto sauce. Let L represent the number of batches of lasagna and S represent the number of batches of spaghetti that Eldar can cook with the amount of pesto sauce he has. 0.9 L+0.3 S <= 6 Eldar cooks 4 batches of spaghetti. How many batches of lasagna can he cook at most with the remaining pesto sauce? Choose 1 answer: (A) Eldar can cook 3 batches of lasagna at most. (B) Eldar can cook 4 batches of lasagna at most. (c) Eldar can cook 5 batches of lasagna at most. (D) Eldar can cook 6 batches of lasagna at most.

Eldar cooks lasagna and spaghetti using pesto sauce.\newlineLet \newlineL L represent the number of batches of lasagna and \newlineS S represent the number of batches of spaghetti that Eldar can cook with the amount of pesto sauce he has.\newline0.9L+0.3S≤6 0.9L + 0.3S \leq 6 \newlineEldar cooks 4 4 batches of spaghetti. How many batches of lasagna can he cook at most with the remaining pesto sauce?\newlineChoose 11 answer:\newline(A) Eldar can cook 3 3 batches of lasagna at most.\newline(B) Eldar can cook 4 4 batches of lasagna at most.\newline(C) Eldar can cook 5 5 batches of lasagna at most.\newline(D) Eldar can cook 6 6 batches of lasagna at most.

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Q. Eldar cooks lasagna and spaghetti using pesto sauce.\newlineLet \newlineL L represent the number of batches of lasagna and \newlineS S represent the number of batches of spaghetti that Eldar can cook with the amount of pesto sauce he has.\newline0.9L+0.3S≤6 0.9L + 0.3S \leq 6 \newlineEldar cooks 4 4 batches of spaghetti. How many batches of lasagna can he cook at most with the remaining pesto sauce?\newlineChoose 11 answer:\newline(A) Eldar can cook 3 3 batches of lasagna at most.\newline(B) Eldar can cook 4 4 batches of lasagna at most.\newline(C) Eldar can cook 5 5 batches of lasagna at most.\newline(D) Eldar can cook 6 6 batches of lasagna at most.
  1. Understand the inequality: Understand the given inequality and what it represents.\newlineThe inequality 0.9L+0.3S≤60.9L + 0.3S \leq 6 represents the maximum amount of pesto sauce Eldar can use to cook lasagna (LL) and spaghetti (SS). The coefficients 0.90.9 and 0.30.3 represent the amount of pesto sauce used per batch of lasagna and spaghetti, respectively.
  2. Substitute spaghetti batches: Substitute the given number of spaghetti batches into the inequality.\newlineEldar cooks 44 batches of spaghetti, so we substitute S=4S = 4 into the inequality:\newline0.9L+0.3(4)≤60.9L + 0.3(4) \leq 6
  3. Simplify the inequality: Simplify the inequality by performing the multiplication. 0.9L+1.2≤60.9L + 1.2 \leq 6
  4. Isolate L: Isolate L by subtracting 1.21.2 from both sides of the inequality.\newline0.9L≤6−1.20.9L \leq 6 - 1.2
  5. Find maximum pesto sauce for lasagna: Perform the subtraction to find the maximum amount of pesto sauce left for lasagna.\newline0.9L≤4.80.9L \leq 4.8
  6. Solve for L: Divide both sides of the inequality by 0.90.9 to solve for LL.\newlineL≤4.80.9L \leq \frac{4.8}{0.9}
  7. Find maximum lasagna batches: Perform the division to find the maximum number of lasagna batches Eldar can cook.\newlineL≤5.333…L \leq 5.333\ldots\newlineSince Eldar cannot cook a fraction of a batch, he can cook at most 55 full batches of lasagna.

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