\begin{cases} m+p=23 \\\newline m-7=p \end{cases}The given system of equations relates m, the number of shirts Mara owns, and p, the number of shirts Phil owns. Which of the following is the best interpretation of the number 7 in the system?Choose 1 answer:(A) Mara owns 7 more shirts than Phil does.(B) Phil owns 7 more shirts than Mara does.(C) Mara owns 7 shirts.(D) Phil owns 7 shirts.
Q. \begin{cases} m+p=23 \\\newline m-7=p \end{cases}The given system of equations relates m, the number of shirts Mara owns, and p, the number of shirts Phil owns. Which of the following is the best interpretation of the number 7 in the system?Choose 1 answer:(A) Mara owns 7 more shirts than Phil does.(B) Phil owns 7 more shirts than Mara does.(C) Mara owns 7 shirts.(D) Phil owns 7 shirts.
Analyze Equation 1: Analyze the first equation in the system.The first equation is m+p=23, which tells us that the total number of shirts owned by Mara (m) and Phil (p) together is 23.
Analyze Equation 2: Analyze the second equation in the system.The second equation is m−7=p, which can be interpreted as Mara owning 7 more shirts than Phil. This is because if we add 7 to Phil's number of shirts (p), we get Mara's number of shirts (m).
Match Interpretation: Match the interpretation of the number 7 with the given choices.Based on the second equation, we can see that the number 7 represents the difference in the number of shirts owned by Mara and Phil, with Mara owning 7 more shirts than Phil. This matches choice (A).
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