3 scales, two weight plates for each. 5 weights

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3 scales, each has two cups to place weighted balls. THere are five balls (A, B, C, D, E) Weights are 30, 50 50, 50, 80.

Scale 1 has balls CD opposing AB. CD is heavier by visual.

Scale 2 has balls EB opposing AC with EB heavier by visual.

Scale 3 has balls AD opposing BCD at equal weights.

Find individual weights of A, B, C, D, and E

MacTyBoys Feb 18, 2019

Rom · Answer 1 · 2019-02-18T05:34:40

\(\text{Have you got a typo in line 4? You've got D on both sides of the scale}\)

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CPhill · Answer 2 · 2019-02-18T06:01:52

AD = BCE

This means that AD = 50, 80 in some order

And BCE = 30, 50, 50 in some order

CD > AB and EB > AC

C + D > B + A E + B > A + C

30 + 80 > 50 + 50 50 + 50 > 50 + 30

A = 50

B = 50

C = 30

D = 80

E = 50