Q:

On their youth basketball team this season, joey scored `3/8` of `1/2` of the team's points, while ken scored `3/4` of `1/3` of the team's points. who scored more points and what was the difference between their two point totals?

Accepted Solution

A:
Let 
x ----------> total points team scored

we know that

Joey scored
(3/8)*(1/2)x-------> (3/16)x

ken scored
(3/4)*(1/3)x----> (3/12)x----> (1/4)x-----> multiply by 4 both members---> (4/16)x

(4/16)x  > (3/16)x
so

the answer Part A) is
Ken scored more points.

Part B) what was the difference between their two point totals?
(4/16)x-(3/16)x----> (1/16)x

the answer Part B) is
the difference between their points is one sixteenth of the total team points