A health department estimates that 8 vials of malaria serum will treat 100 people. At this rate, how many vials are required to treat 175 people?

Question

3790 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-28T08:18:59

#14#

#"using "color(blue)"proportion"#

#100" people "to8" vials"#

#175" people "to8/1xx175/100=14" vials"#

Answer 2 · 2018-03-28T08:23:01

#14# vials

We can solve this using direct proportion. For direct proportion we have:

#yprop kx#

Where #k# is the constant of variation. To find #k#:

We know 8 vials will treat 100 people.So:

#8=k100#

Divide by 100:

#k=8/100=2/25#

#:.#

#yprop2/25x#

Plugging in #x=175#

#y=2/25(175)=14#

#14# vials are needed.