Carrie the cat and Barrie the bat together weigh 4000 g more than Rollie the rat.
Barrie and Rollie together weigh 2000 g less than Carrie.
Carrie and Rollie together weigh 3000 g more than Barrie.
What is the weight, in grams, of Rollie the rat?
A.250 B. 500 C. 750 D. 1000 E. 1250
B. 500
We let c, b and r be the weights, in grams, of Carrie, Barrie and Rollie respectively.
The information given in the question yields the following equations.
c + b = r + 4000 (1)
b + r = c − 2000 (2)
c + r = b + 3000 (3)
Adding equations (2) and (3) gives
c + b + 2r = c + b + 1000
from which we deduce, by subtracting c + b from both sides, that 2r = 1000.
Therefore r = 500. Hence Rollie’s weight in grams, is 500.
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