We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

# 3 scales, two weight plates for each. 5 weights

+1
82
3
+107

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

Feb 18, 2019

### 3+0 Answers

#1
+5038
0

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

.
Feb 18, 2019
#2
+107
0

THank you. The third scale has cup 1 with A and D, cup 2 has B, C, and E. Thank you for catching my error.

MacTyBoys  Feb 18, 2019
#3
+100439
+2

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

Feb 18, 2019
edited by CPhill  Feb 18, 2019