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.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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