Question

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 1/3C 1/5 D 2/3

Answer 1

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