Question

Jarah scores 5.5 times as many points as Allie in Tuesdays Basket ball game.The total number of points scored by both girls is 52.How many points does each girl score

Answer 1

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 +
`(x)/(5.5)` = 52

x (1 + (
`(1)/(5.5)`)) = 52

x (
`(5.5+1)/(5.5)`) = 52

x (
`(6.5)/(5.5)`) = 52

x =
`(5.5x52)/(6.5)` = 44 points

BTW, Allie scored
`(44)/(5.5)` = 8 points