Question

during a game, a basketball team scored 38 points worth of two-pointers, 33 points worth of three-pointers, and 8 points worth of free throws. How many shots did the basketball team make during the game (Hint: A free throw is worth one point)

Answer 1

Your Answer:

Given:-

• 38 points via two-pointer
• 33 points via three-pointer
• 8 points via free throw

Solution:-

In the case of two-pointer the shots thrown are ( every two pointers covers two points)

= 38/2

= 19 shots

In the case of three- pointer the shots thrown are ( every three pointer covers three points)

= 33/3

= 11 shots

In the case of free throws the shots thrown are ( every free throw covers one points)

= 8/1

= 8 shots

Total shots thrown are

= 19+11+8

= 38 shots

So, 38 shots are thrown by the team.

Answer 2

Answer:

$\bigstar\frak{\:Given :}\\\begin{tabular}{|c|c|}\cline{1-2}\sf 2 Pointer&\sf 38 Points\\\cline{1-2}\sf3 Pointer&\sf33 Points\\\cline{1-2}\sf Free Throw&\sf8 Points\\\cline{1-2}\end{tabular}\:\:\:\boxed{\sf Shot=\dfrac{Total\: Point}{Each\:Shot\:Worth}}$

$\rule{90}{0.8}$

★ Shot Made by Basketball Team :

$\longrightarrow\tt\:\:2\: Pointer=\dfrac{Total\: Point}{Each\:Shot\:Worth}\\\\\longrightarrow\tt\:\:2\: Pointer=\dfrac{38\: Point}{2\: Point}\\\\\longrightarrow\tt\:\:2\: Pointer=19$

⠀

$\longrightarrow\tt\:\:3\: Pointer=\dfrac{Total\: Point}{Each\:Shot\:Worth}\\\\\longrightarrow\tt\:\:3\: Pointer=\dfrac{33\: Point}{3\: Point}\\\\\longrightarrow\tt\:\:3\: Pointer=11$

⠀

$\longrightarrow\tt\:\:Free\: Throw=\dfrac{Total\: Point}{Each\:Shot\:Worth}\\\\\longrightarrow\tt\:\:Free\: Throw=\dfrac{8\: Point}{1\: Point}\\\\\longrightarrow\tt\:\:Free\:Throw=8$

$\rule{160}{1.4}$

☯ $\underline{\bf{According\: to \:the\: Question\:now :}}$

$:\implies\sf Total\:Shots=2\:Pointer+3\:Pointer+Free\:Throw\\\\\\:\implies\sf Total\:Shots = 19 + 11 + 8\\\\\\:\implies\underline{\boxed{\sf Total\:Shots = 38}}$

⠀

$\therefore\:\underline{\textsf{Basketball team make \textbf{38 shots} in the game}}.$