ANSWER: Jarah: 44 points, Allie: 8 points
STEP BY STEP EXPLANATION:
Let x be the total number of points scored by both girls. Jarah scores 5.5 times as many points as Allie in Tuesdays Basket ball game. So, in terms of x, Allie scored (x/5.5) in the first game. Both girls scored a total of 52 points. So x = (x/ 5.5) = 52. Find x.
x + [tex]\frac{x}{5.5}[/tex] = 52
x (1 + ([tex]\frac{1}{5.5}[/tex])) = 52
x ( [tex]\frac{5.5+1}{5.5}[/tex]) = 52
x ([tex]\frac{6.5}{5.5}[/tex]) = 52
x = [tex]\frac{5.5x52}{6.5}[/tex] = 44 points
BTW, Allie scored [tex]\frac{44}{5.5}[/tex] = 8 points
