Question

Bobby Hull scored G goals, A assists, and Points in his NHL career. By definition, his points are the sum of the goals and assists. He scored 50 more goals than assists. Had he scored 15 more goals and 15 more assists, he would have scored 1200 points. How many goals, assists and points did Bobby Hull score?

A) Goals: 505, Assists: 455, Points: 960
B) Goals: 530, Assists: 480, Points: 1010
C) Goals: 550, Assists: 500, Points: 1050
D) Goals: 575, Assists: 525, Points: 1100

Answer 1

Bobby Hull scored 610 goals, 560 assists, and 1170 points in his NHL career.

Step-by-step explanation:

Let's break down the information given:

• Hull scored G goals, A assists, and Points in his NHL career.
• By definition, his points are the sum of the goals and assists: Points = Goals + Assists.
• Hull scored 50 more goals than assists: Goals = Assists + 50.
• If he had scored 15 more goals and 15 more assists, he would have scored 1200 points: Points + 30 = 1200.

From the second and third points, we can substitute the expressions for Goals and Assists in terms of Points into the fourth point:

Points + 30 = 1200

Goals + Assists + 30 = 1200

Assists + 50 + Assists + 30 = 1200

2Assists + 80 = 1200

2Assists = 1200 - 80

2Assists = 1120

Assists = 1120/2

Assists = 560

Substituting the value of Assists back into the expression for Goals:

Goals = Assists + 50 = 560 + 50 = 610

The points can be calculated by adding the goals and assists: Points = Goals + Assists = 610 + 560 = 1170.

Therefore, Bobby Hull scored 610 goals, 560 assists, and 1170 points in his NHL career.