MHB Ryan's Hockey Points: Goals + Assists = 83

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Ryan scored a total of 83 points in hockey, which is the sum of his goals and assists. He had 21 fewer goals than assists, leading to the equations a + g = 83 and g = a - 21. By solving these equations, it is determined that Ryan scored 31 goals and 52 assists in the season. This analysis highlights the relationship between goals and assists in evaluating a player's performance. Understanding these statistics is crucial for assessing player contributions in hockey.
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In hockey, the points a player scores is the sum of the goals scored and he assists.

In one session, Ryan scored 83 points. Ryan scored 21 fewer goals than assists.

a) Write a system of equations to represents the situation. State your variables.

b) How many goals and assists Ryan scored in one season?
 
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Let a be the number of assists, and g be the number of goals.

83 points total: a + g = 83
21 fewer goals than assists: g = a - 21

Finish it.
 
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