Question

in a basketball, a field goal counts 2 points and a foul shot one point. shreyash scored 14 points in a game. he made 3 times as many field goals as foul shots.on how many shots of each kind did he score?​

Answer 1

Answer:

Number of Foul shots made = 2

Number of Field goals = 6

Step-by-step explanation:

In the question,

The points for a field goal = 2

The points for a foul shot = 1

Points scored by Shreyash = 14

Let us say number of foul shots made by Shreyash = x

so,

Number of field goals = 3x

So,

Total score = Score from field goal + Score from Foul shot

Total score = 2(3x) + 1(x)

14 = 6x + x

7x = 14

x = 2

Therefore, we can say,

Number of Foul shots made = 2

Number of Field goals = 6

Answer 2

Number of shot for getting goal $= 6$

Number of shot for getting foul $= 2$

Explanation:

Let , Number of Shorts of getting 2 points by Shreyash $= x$

and Number of Shorts of getting one point as foul $= y$

Total number of points Shreyash got, $N = 14$ .................(given)

$x = 3y$ ...............................................(Given)

$2x + y = 14$

$2 \times 3y + y = 14$

$7y = 14$

$y=2$ and $x = 3\times2 = 6$

Hence, Number of shot for getting goal $= 6$

Number of shot for getting foul $= 2$.