Question

During a basketball game, you made 11 shots of either 2 or 3 points. You scored atotal of 25 points. How many shots of each point value did you make?

Answer 1

During a basketball game, you made 11 shots of either 2 or 3 points. You scored a

total of 25 points. How many shots of each point value did you make?

Let

x -----> number of shots of 2 points

y -----> number of shots of 3 points

we have that

x+y=11

x=11-y -----> equation A

and

2x+3y=25 -----> equation B

substitute equation A in equation B

2(11-y)+3y=25

solve for y

22-2y+3y=25

y=25-22

y=3

Find the value of x

x=11-3

x=8

therefore

number of shots of 2 points is 8

number of shots of 3 points is 3