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Alonzo and Miguel scored a total of 54 points in the basketball game. Miguel scored four more points than Alonzo. Determine the number of points each person scored by writing a system of equations and solving the system by the substitution method.

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Answer:

  • Miguel: 29 points
  • Alonzo: 25 points

Step-by-step explanation:

Let 'a' and 'm' represent the respective scores of Alonzo and Miguel. The given relations are ...

  a + m = 54

  m - a = 4

Adding 'a' to the second equation gives an expression for m that we can substitute into the first equation:

  m = a +4

  a +(a +4) = 54 . . . . . substitute for m

  2a = 50 . . . . . . . . subtract 4

  a = 25 . . . . . . . divide by 2

  m = 25 +4 . . . Miguel's score

Alonzo scored 25; Miguel scored 29 points.