Mathematics, 04.10.2021 19:30 skincarewithcourtney
4) Sophie has 60 pencils. The ratio of sharpened pencils to blunt pencils is 4:1 How many sharpened pencils does Sophie have?
Answers: 1
Answer from: Quest
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
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4) Sophie has 60 pencils. The ratio of sharpened pencils to blunt
pencils is 4:1 How many sharpene...
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