SOLUTION: Three stones are weighed on a scale, two at a time. The scale shows weights of 49 kg, 63 kg, and 80 kg. How much does the heaviest stone weigh? (A) 30 kg (B) 36 kg (C) 40 kg (D)

Question 206854: Three stones are weighed on a scale, two at a time. The scale shows weights of 49 kg, 63 kg, and 80 kg. How much does the heaviest stone weigh?
(A) 30 kg (B) 36 kg (C) 40 kg (D) 47 kg (E) Not enough
information
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Three stones are weighed on a scale, two at a time. The scale shows weights of 49 kg, 63 kg, and 80 kg. How much does the heaviest stone weigh?
---------
a+b = 49
a+c = 63
b+c = 80
---------
a = 49-b Sub into eqn 2
49-b+c = 63
-b+c = 14
b+c = 80 eqn 3
----- Add
2c = 94
c = 47 kg
-----------
b = 33 kg
----------
a = 16 kg

RELATED QUESTIONS
Three chickens were weighed in pairs; the first pair weighed in at 10.6 kg, the second... (answered by Fombitz)

Three chickens were weighed in pairs; the first pair weighed in at 10.6 kg, the second... (answered by scott8148)

Three chickens were weighed in pairs; the fist pair weighed in at 10.6 kg, the second... (answered by ankor@dixie-net.com)

At a carnival, players are to guess the weight of three objects; a tetrahedron, sphere,... (answered by final,jrfrunner)

Three chickens were weighed in pairs. The first pair weighed in at 10.6 kilograms, the... (answered by Earlsdon)

Three penguins, Pesky, Waddles and Tux all went to the Antarctic Amusement Park. The... (answered by kevwill)

P2P # 3 Seventh Grade Pre-Algebra � Weighin�In James, Henry, and Simon are... (answered by swincher4391)

Ann, Beth and Celine wanted to weigh themselves, but the scales they had were broken and (answered by stanbon)

The distribution of weights in a large group is approximately normally distributed. The... (answered by stanbon)