A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct? The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r minus t = 20 and 5 r + 5 t = 150. The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r minus t = 20 and 5 r + 5 t = 150. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.

Answer:

Explanation:

A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct? The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r minus t = 20 and 5 r + 5 t = 150. The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r minus t = 20 and 5 r + 5 t = 150. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.

Ein Unternehmen hat ein Budget von 150 US-Dollar, um seinen 20 Mitarbeitern ein Mittagessen zu bieten. Die Optionen sind, entweder Roastbeef-Sandwiches anzubieten, die $ 5 pro Stück kosten, oder Thunfisch-Sandwiches, die auch $ 5 pro Stück kosten. Das Unternehmen will auch das gesamte Budget verwenden. Angenommen, r steht für die Anzahl der Roastbeef-Sandwiches, die es anbietet, und t für die Anzahl der Thunfischsandwiches. Welche Aussage ist richtig? Das Unternehmen kann für alle 20 Mitarbeiter ein Mittagessen anbieten und das gesamte Budget verwenden, da es eine Lösung für das Gleichungssystem r minus t = 20 und 5 r + 5 t = 150 gibt. Das Unternehmen kann für alle 20 Mitarbeiter ein Mittagessen anbieten und das gesamte Budget verwenden, da es eine Lösung für das Gleichungssystem r + t = 20 und 5 r + 5 t = 150 gibt. Das Unternehmen kann nicht für alle 20 Mitarbeiter ein Mittagessen anbieten und die gesamte Budget, weil es keine Lösung für das Gleichungssystem r minus t = 20 und 5 r + 5 t = 150 gibt. Das Unternehmen kann nicht für alle 20 Mitarbeiter ein Mittagessen anbieten und das gesamte Budget verwenden, da es keine Lösung für das Gleichungssystem r + t = 20 und 5 r + 5 t = 150 gibt.

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