How many two and three pointers did he make?

Question

Billy scored 19 points in last night basketball game. He made 8 shots total. How many two and three pointers did he make (Assume that he made no free throws because he has the hands of a gorilla)

Answer 1

x = 2 pointers

y = 3 pointers

 

total points = 2x + 3y = 19

total made = x + y = 8

 

Solve using simultaneous equations

 

2x + 3y = 19

3x + 3y = 24      (multpy second equation by 3)

 

Now subtract

 

-x = -5

 

x = 5

 

2(5) + 3y =19

10 + 3Y =19

3Y = 9

y = 3

 

5 - 2 pointers

3 - 3 pointers

Answer 2

he made 5- 2pointers and 3- 3 pointers

 

check

 

5+3 = 8 shots 

and 5(2) + 3(3) = 19 points