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If the ratio of cashews to total nuts is 16 to 50, and there are only cashews and peanuts in the bag, then the ratio of peanuts to total nuts is the number of total nuts minus the number of cashew nuts, or

50 - 16 = 34 to 50

To find the percentage of peanuts, divide the number of peanuts by the total number of nuts and multiply that number by 100 to obtain

(34/50) x 100% = 68%

Note: Depending upon how sly your teacher is, this is a "trick question" because neither cashews nor peanuts are actually "nuts". Peanuts are legumes and cashews are seeds. Therefore, the answer might be: "None of the nuts are peanuts, because peanuts are legumes, like peas or beans, not nuts."

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Q: Ben has a bag of cashews and peanuts The ratio of cashews to the total number of nuts in the bag is 16 to 50 What percent of the nuts are peanuts?
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