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?

Bridget is on her middle schools basketball team In its last game her team made 31 of its shots Some of those were free throws worth 1 point each amp some of th class=

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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

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