Answer:
24
Step-by-step explanation:
Let x be the points he scored in his best game. x-8 would then represent each of his last 3 games.
(x-8)*3 = 2x
3x-24=2x
x=24
The score of Joshua in his best game is 24.
Given information,
Joshua scored the same number of points in each of his last 3 basketball games.
He scored 8 fewer points in each of those games than he scored in his best game.
The total number of points that Joshua scored in the last 3 games is equal to twice the number of points he scored in his best game.
Let's assume, Joshua's best score is x, while the score of his last match is y. And divide the information given to us into three parts:
Part 1: Joshua scored the same number of points in each of his last 3 basketball games.
therefore, the score of his last three-match is the same.
Part 2: Joshua scored 8 fewer points in each of those games than he scored in his best game.
therefore, equation 1 is [tex]\bold{y = x+8}[/tex].
Part 3: The total number of points that Joshua scored in the last 3 games is equal to twice the number of points he scored in his best game.
therefore, equation 2 is [tex]\bold{y+y+y = 2x}[/tex]
[tex]\bold{3y = 2x}[/tex]
Solving equation 2 to get the value of y, we get,
[tex]3y =2x\\\\y=\dfrac{2x}{3}[/tex]
substituting the value of y in equation 1,
[tex]\bold{y = x+8}[/tex]
[tex]\bold{\dfrac{2x}{3} = x+8}[/tex]
[tex]\bold{\dfrac{2x}{3} - x =8}[/tex]
[tex]\bold{\dfrac{x}{3} = 8}[/tex]
[tex]\bold{x = 24}[/tex].
Hence, the score of Joshua in his best game is 24.
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