Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna. 0.3 S+0.65 L = 4.5 represents the number of batches of spaghetti S and lasagna L Antonius can cook to use at least 4.5 kilograms of pasta. 0.25 S+0.8 L 6.3 represents the number of batches of spaghetti and lasagna Antonius can cook to use more than 6.3 liters of sauce. Does Antonius meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna? Choose 1 answer: (A) Antonius meets both of his expectations. (B) Antonius uses the expected amount of pasta but not the expected amount of sauce. (C) Antonius uses the expected amount of sauce but not the expected amount of pasta. (D) Antonius doesn't meet either of his expectations.

Question

Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.  0.3 S+0.65 L >= 4.5 represents the number of batches of spaghetti  S and lasagna  L Antonius can cook to use at least 4.5 kilograms of pasta.  0.25 S+0.8 L > 6.3 represents the number of batches of spaghetti and lasagna Antonius can cook to use more than 6.3 liters of sauce. Does Antonius meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna? Choose 1 answer: (A) Antonius meets both of his expectations. (B) Antonius uses the expected amount of pasta but not the expected amount of sauce. (C) Antonius uses the expected amount of sauce but not the expected amount of pasta. (D) Antonius doesn't meet either of his expectations.

Bytelearn · Accepted Answer

Check Pasta Quantity: Check if Antonius uses at least 4.5 kilograms of pasta by substituting the values of S and L into the first inequality. 0.3S + 0.65L >= 4.5 Substitute S = 10 and L = 4 into the inequality: 0.3(10) + 0.65(4) >= 4.5 Calculate the left side of the inequality: 3 + 2.6 >= 4.5 5.6 >= 4.5Calculate Pasta Weight: Check if Antonius uses more than 6.3 liters of sauce by substituting the values of S and L into the second inequality. 0.25S + 0.8L > 6.3 Substitute S = 10 and L = 4 into the inequality: 0.25(10) + 0.8(4) > 6.3 Calculate the left side of the inequality: 2.5 + 3.2 > 6.3 5.7 > 6.3

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