Answer:
The number of 1 point throw is 5, the number of 2 point throw is 8 and the number of 3 point throw is 4
Step-by-step explanation:
Let x represent the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. Each of 1 point free throw is 1 point, each of 2 point free throw is 2 points and each of the 3 point free throw is 3 points. This is represented by the equation:
x + 2y + 3z = 33 (1)
Also, The player scored 17 times, therefore it is represented by:
x + y + z = 17 (2)
The player scored 3 more 2-point field goals than 1-point free throws, it is represented by:
y = x + 3
-x + y = 3 (3)
Solving equation 1, eqn 2 and eqn 3 simultaneously:
x = 5, y = 8, z = 4.
The number of 1 point throw is 5, the number of 2 point throw is 8 and the number of 3 point throw is 4
Answer:
No. of 1 pt free throws = 5, No. of 2 pt goals = 8, No. of 3 pt goals = 4
Step-by-step explanation:
Equations : x + y + z = 17 [ Total times taken to score ]
1x + 2y + 3z = 33 [ Total Score ]
Also, y = x + 3
Putting the value of 'y' in both equations :
x + (x + 3)+ z = 17 → 2x + 3 + z = 17 → 2x + z = 14 (i)
1x + 2 (x + 3) + 3z = 33 → x + 2x + 6 + 3z = 33 → 3x + 3z = 27 (ii)
Solving these equations :
From (i), z = 14 - 2x
Putting this value in (ii), 3x + 3(14 - 2x) = 27 → 3x + 42 - 6x = 27
42 - 3x = 27 → 3x = 15 → x = 5
y = x + 3 = 5 + 3 → y = 8
z = 17 - x - y → z = 17 - 5 - 8 = 17 - 13 → z = 4
