Question

A basketball player scored 24 times during one game. She scored a total of 41 points, two for each two-point shots and one for each free-throw how many to point shots did she make? How many free throws?

Answer 1

x=17

Explanation:

Answer 2

Number of points shoot, x=17

Number of free shoot, y=7

Explanation:

Let us consider,

point shoot as x

free shoot as y.

Question say " A basketball player scored 24 times during one game "

Therefore, Number of point shoot + Number of free shoot = 24

Numerically we get,

x+y=24

Now, Free shoot gives one point and point shoot gives two points.

She scored total of 41 points.

2x+y=41

we get two equations

x+y=24

2x+y=41

By solving above linear equations...

we can write, y=24-x

replacing y value in 2x+y=41

2x+24-x=41

x=17

To find value of y, replace x vaule in any equation

say, x+y=24

17+y=24

y=7

Thus, x=17 and y=7

Number of points shoot, x=17

Number of free shoot, y=7