At West High School, 2/5 of the students play a sport. Of the students who play a sport, 1/4play football. What fraction of the studentsat West High School play football2A1/10B …

Question

asked Jul 7, 2023 117k views

1 Answer

Alexander Nied · Answer 1 · 2023-07-11T11:53:32+0000

Lets define the variables:

$X\colon\text{ students who play a sport}$
$F\colon\text{ students who play football}$
$H\colon\text{ total students of the high school}$

we have that

$X=(2)/(5)H\text{ }$

and

$F=(1)/(4)X\Rightarrow X=4F$

then replacion X=4F, we have that

$4F=(2)/(5)H\Rightarrow F=(2)/(5(4))H\Rightarrow F=(2)/(20)H=(1)/(10)H$

then 1/10 of students at west high school play football