Question

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.

Answer 1

The correct answer is B

Explanation:

Answer 2

2g + a = 42 and a + g = 24

Explanation:

Let number of goals is represented by "g" and number of assists represented by "a"

By the statement "Combined number of goals and assists is 24"

so equation will be a + g = 24 ---------(1)

Second statement says

"Total numbers of points of goals and assists is 42"

2g + a = 42 --------(2)

Therefore, 2g + a = 42 and a + g = 24 is the system of equations to determine the number of goals and assists golfer has.