Question

In a recent basketball game between the

Monstars and the Tune Squad, the number of
points scored by the Tune Squad in the first half
was equal to the number of points scored by
the Monstars in the second half.
In the first half the Tune Squad scored one-fifth
the total points in the game. During the second
half the Monstars scored 93 points less than
four-fifths of the total points in the game.
Write and solve a linear equation to determine
the number of total points scored in the game

What is the number of total points scored in the game?
A) 100
B) 200
C) 300
D) 400

Answer 1

The total number of points scored in the game is approximately 116.25.

Step-by-step explanation:

To solve this problem, we can set up two equations using the given information:

Let x be the total number of points scored in the game.

According to the problem, the number of points scored by the Tune Squad in the first half is equal to the number of points scored by the Monstars in the second half.

So, 1/5x = (4/5x) - 93

Now, we can solve the equation for x:

1/5x = 4/5x - 93

5/5x - 1/5x = 93

4/5x = 93

x = 93 * 5/4

x = 116.25

The total number of points scored in the game is approximately 116.25.