Lizzy: Nancy carves statues out of jade. A giraffe statue takes 120 grams of jade and sells for $150. An elephant statue takes twice as much jade and sells for $350. If Nancy has 1920 grams of jade, how much more money will she make turning it all into elephants instead of giraffes?.
Me: Hmmm, let me think. I think this is the detailed solution:
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First find how many giraffe statues Nancy can make by dividing the total amount of jade by the amount used per giraffe statue: 1920 g / 120 g / giraffe = 16 giraffes. Then multiply that number by the price per giraffe to find how much Nancy earns total from giraffes: 16 giraffes * $150 / giraffe = $2400. Then find how much jade each elephant statue uses by doubling the jade used by the giraffe statues: 120 g / giraffe * 2 = 240 g / elephant. Then find how many elephant statues Nancy can make by dividing the total amount of jade by the amount used per elephant statue: 1920 g / 240 g / elephant = 8 elephant. Multiply that number by the price per elephant to find Nancy's total earnings from elephants: 8 elephants * $350 / elephant = $2800. Finally, subtract Nancy's total earnings from the giraffes from her total earnings from the elephants to find the difference: $2800 - $2400 = $400. Final answer: 400.
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