Granny has made another of her special super-heavy giant rock cakes. At her birthday party, five of the guests tried to guess the weight of the cake. Their guesses were 5040g, 5060g, 5110g, 5120g, and 5150g.
Actually, none of them was right. Only two were more than 30 grams out, and they were out by 70g and 90g.
What was the weight of the cake?
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Intermediate Mathematical Challenge 2002 (2002)
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