A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. What fraction of the tea from a full cup is needed to fill 1 entire container?

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4