P varies directly with Q and inversely with R. P=9, when Q=3 and R=4. How do you find Q when P=1 and R=1/2?

1 Answer
Alan P.
Jan 7, 2018

#Q=1/24#

Explanation:

If #P# varies directly with #Q# and inversely with #R# then
#color(white)("XXX")(P * R)/Q=k# for some constant #k#

If #P=9, Q=3, and R=4# then
#color(white)("XXX")(9 * 4)/3=kcolor(white)("xx")rarrcolor(white)("xx")k=12#

So when #P=1# and #R=1/2#
#color(white)("XXX")(1 * 1/2)/Q=12#

#color(white)("XXX")1/2=12Q#

#color(white)("XXX")Q=1/24#

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