Juarez scored 32 points in a basketball game. He scored twice as many baskets worth 3 points than baskets worth 2 points. How many baskets did he score worth 3 points and how many did he score worth 2 points?

Verified Answer :

8, 3 pointers =24 points
4, 2 pointers = 8points
24+8= 34 points

Answer:

He scored 8 baskets worth 3 points and 4 baskets worth 2 points.

Step-by-step explanation:

Let Juarez scored x baskets worth 3 points and y baskets worth 2 points.

Thus, we have below equations.

\(3x+2y=32....(1)\)

And the second equation is

\(x=2y\)

From equation (1)

\(3(2y)+2y=32\\\\6y+2y\\32\\8y=32\\y=4\)

Plugging this value in (1)

\(3x+2(4)=32\\3x=32-8\\3x=24\\x=8\)

Hence, he scored 8 baskets worth 3 points and 4 baskets worth 2 points.