Question

In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in a game and 118 points total. Part A: Write a system of equations where x represents a regular basket and y represents a long distance basket.

Answer 1

Answer:

The system of equations for the given situation is:

$x+y=54$

$2x+3y=118$

Step-by-step explanation:

Given:

Regular basket is worth = 2 points

Long distance basket  is worth =3 points

Total baskets in a game = 54

Total points in total = 118

$x\rightarrow$ represents the number of regular baskets

$y\rightarrow$ represents the number of long distance baskets.

Expression for total baskets can be given by ⇒ $x+y$

Thus first equation representing total baskets in a game is given by:

$x+y=54$

Since a regular basket is worth 2 points

So $x$ regular baskets would be worth $=2x$ points

Since a long distance basket is worth 3 points

So $y$ long distance baskets would be worth $=3y$ points

Expression for total points in a game can be given by ⇒ $2x+3y$

Thus second equation representing total points in a game is given by:

$2x+3y=118$

∴ The system of equations for the given situation is:

$x+y=54$

$2x+3y=118$