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If something costs 5 cents per ounce, it costs 16*5 = 80 cents per pound.

Here we know the envelope cost $3.20 for the first pound, and 80 cents for each additional pound. If it cost $5 in total, the additional weight beyond the first pound cost $1.80, so that additional weight was slightly more than 2 pounds, and the envelope weighed a bit more than 3 pounds, and C is right.

Ian, the stem doesn’t suggest that the weight charged per the $0.05 fee is in addition to the pound already factored in. It just says that if the weight exceeds a pound, then there’s an initial fee plus a weight per ounce. Am I missing something?

My answer would thus be 2lb4oz.

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burnermba64

Ian, the stem doesn’t suggest that the weight charged per the $0.05 fee is in addition to the pound already factored in. It just says that if the weight exceeds a pound, then there’s an initial fee plus a weight per ounce. Am I missing something?

My answer would thus be 2lb4oz.

Oh, yes, good point and you're right about the wording, which I just glossed -- I'm so used to similar official questions, where the surcharge would only apply to the weight in excess of the first pound, that I assumed this question was saying the same thing. That's almost always how these things work in real life. But as you point out, the question doesn't apply the surcharge only to the excess weight over one pound, so your answer is correct.

The setup here really doesn't make a lot of sense, because a 1 pound package costs $3.20, but a 1 pound and 1 ounce package suddenly jumps in price to $4.05. So the first sixteen ounces cost 20 cents per ounce, but the seventeenth ounce costs $0.85, even though as packages get heavier and heavier the cost per ounce gets closer and closer to $0.05. So with the pricing structure, there's an inconsistent pricing philosophy towards heavier packages, and for some unknown reason, the cost per ounce is highest for packages weighing just over 1 pound. That inconsistency disappears if the $0.05 per ounce surcharge only applies to the weight in excess of the first pound. That's why every similar official question I've seen, e.g. about taxi fares with an initial charge for the first few miles and a fee for miles in excess of that initial distance, are set up differently from this one.

Thanks for pointing out my mistake! :)
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burnermba64

Ian, the stem doesn’t suggest that the weight charged per the $0.05 fee is in addition to the pound already factored in. It just says that if the weight exceeds a pound, then there’s an initial fee plus a weight per ounce. Am I missing something?

My answer would thus be 2lb4oz.

Oh, yes, good point and you're right about the wording, which I just glossed -- I'm so used to similar official questions, where the surcharge would only apply to the weight in excess of the first pound, that I assumed this question was saying the same thing. That's almost always how these things work in real life. But as you point out, the question doesn't apply the surcharge only to the excess weight over one pound, so your answer is correct.

The setup here really doesn't make a lot of sense, because a 1 pound package costs $3.20, but a 1 pound and 1 ounce package suddenly jumps in price to $4.05. So the first sixteen ounces cost 20 cents per ounce, but the seventeenth ounce costs $0.85, even though as packages get heavier and heavier the cost per ounce gets closer and closer to $0.05. So with the pricing structure, there's an inconsistent pricing philosophy towards heavier packages, and for some unknown reason, the cost per ounce is highest for packages weighing just over 1 pound. That inconsistency disappears if the $0.05 per ounce surcharge only applies to the weight in excess of the first pound. That's why every similar official question I've seen, e.g. about taxi fares with an initial charge for the first few miles and a fee for miles in excess of that initial distance, are set up differently from this one.

Thanks for pointing out my mistake! :)

Cheers Ian! Yes, usually these questions talk about a surcharge. Also, after messing up way too many questions because I gloss over the language of the stem or “assume” a logical jump not present in the question, I’m becoming more eagle-eyed than ever. Things GMAT prep does to one. 😂

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