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£20 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as
much as Caroline, and Caroline gets three times as much as Sarah. How much
does Bridget get?
£

21/58.

hope to be marked brainliest

the square root of what number? if you add that, then someone will probably answer the question.

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