A basketball player hit the basket eighteen times during the game. He scored a total of 30 points, two points for each field goal and one point for each free throw. If he threw 6 more field goals than free throws, how many field goals did he make? How many free throws did he make -Pls provide work :)

He made 6 free throws and 12 field goals.

Step-by-step explanation:

Let x = Number of free throws

Then, Number of field goals = x+6

Number of times player hit the basket = 18

According to the question,

x+(x+6)=18

⇒ x+x+6=18

⇒ 2x+6=18

⇒ 2x=18-6

⇒ 2x=12

⇒ x=6              [Divide both sides by 2.]

So, he made 6 free throws and (6+6=) 12 field goals.

6 throws and 12 goals.

Step-by-step explanation:

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