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Rita has three pets: Jen the rabbit, Joe the dog, and Jill the cat. Rita has a problem measuring the weight
of each animal because whenever she places one animal, at least one other will follow. Can you help her?
The total weight of Jen and Jill is 10 kg, the total weight of Jen and Joe is 20 kg, and the total weight of Joe and Jill is 24 kg.
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Let R be the rabbit's weight;
D be the dog's weight;
C be the cat's weight.
From the condition, you have these tree equations
R + C = 10 (1)
R + D = 20 (2)
C + D = 24 (3)
To solve the system, add all three equations. You will get
2R + 2C + 2D = 10 + 20 + 24 = 54
or, dividing both sides by 2
R + C + D = 27. (4)
Now, from equation (4) subtract equation (1). You will get D = 27 - 10 = 17 kg(weight of the dog).
Next, from equation (4) subtract equation (2). You will get C = 27 - 20 = 7 kg(weight of the cat).
Finally, from equation (4) subtract equation (3). You will get R = 27 - 24 = 3 kg(weight of the rabbit).
ANSWER. Dog 17 kg; cat 7 kg; rabbit 3 kg.
Solved.
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