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{:[m+p=23],[m-7=p]:}
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.

m+p=23m7=p \begin{array}{l} m+p=23 \\ m-7=p \end{array} \newlineThe given system of equations relates m m , the number of shirts Mara owns, and p p , the number of shirts Phil owns. Which of the following is the best interpretation of the number 77 in the system?\newlineChoose 11 answer:\newline(A) Mara owns 77 more shirts than Phil does.\newline(B) Phil owns 77 more shirts than Mara does.\newline(C) Mara owns 77 shirts.\newline(D) Phil owns 77 shirts.

Full solution

Q. m+p=23m7=p \begin{array}{l} m+p=23 \\ m-7=p \end{array} \newlineThe given system of equations relates m m , the number of shirts Mara owns, and p p , the number of shirts Phil owns. Which of the following is the best interpretation of the number 77 in the system?\newlineChoose 11 answer:\newline(A) Mara owns 77 more shirts than Phil does.\newline(B) Phil owns 77 more shirts than Mara does.\newline(C) Mara owns 77 shirts.\newline(D) Phil owns 77 shirts.
  1. Analyze Total Shirts: Analyze the first equation m+p=23m + p = 23. This equation indicates that the total number of shirts owned by Mara (mm) and Phil (pp) together is 2323.
  2. Interpret Second Equation: Analyze the second equation m7=pm - 7 = p. This equation can be interpreted as Mara owning 77 more shirts than Phil. If we add 77 to Phil's number of shirts (pp), we get the number of shirts Mara owns (mm).
  3. Check Answer Choices: Check the answer choices against the interpretation of the second equation.\newlineA) Mara owns 77 more shirts than Phil does. - This matches our interpretation of the second equation.\newlineB) Phil owns 77 more shirts than Mara does. - This is incorrect based on the second equation.\newlineC) Mara owns 77 shirts. - This is not indicated by either equation.\newlineD) Phil owns 77 shirts. - This is not indicated by either equation.
  4. Select Correct Answer: Select the correct answer based on the analysis.\newlineThe correct answer is A) Mara owns 77 more shirts than Phil does, as it is the only interpretation that aligns with the second equation m7=pm - 7 = p.