Question

Bridget is on her middle school’s basketball team. In it’s last game, her team made 31 of it’s shots. Some of those were free throws, worth 1 point each, & some of those were regular field goals, worth 2 points each. The team didn’t make any 3 pointers and finished the game with 49 points. This system of equations can be used to represent the situation
X + y = 31
X + 2y = 49
Which statement is correct
(statements are at the top aka the picture I provided)
How many points did Bridget’s team score from the field goals?

Answer 1

Answer:

Step-by-step explanation:

Let the number of free throws = x

And the number of regular field goals = y

Total shots made by the team = 31

Equation for the shots will be,

x + y = 31 ------(1)

If the team gets 1 point for free throws and 2 points for a regular field goal,

x + 2y = 49 --------(2)

[total points gained by the team = 49]

1). Option (2) is the correct option.

2). Subtracting equation (1) from equation (2),

  (x + 2y) - (x + y) = 49 - 31

  y = 18

  Therefore, number of  regular field goals made by the team = 18