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

[Abdullah Qureshi]

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?

 

[Prove It]

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.