at a basketball game, a team made 52 successful shots. They were a combination of 1 and 2 point shots. The team scored 89 points in all.

Question

at a basketball game, a team made 52 successful shots. They were a combination of 1 and 2 point shots. The team scored 89 points in all.

Answer 1

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52