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Sale of 10kg of mixed nuts produces income of 10 x 8.4 = 84

Income from sale of pecan nuts = P x 9 where P is the weight of pecan nuts in kg.

Income from sale of cashews = (10 - P) x 8 as weight of cashews is 10 - P kg.

BUT : 9P + 8(10 - P) = 84

9P + 80 - 8P = 84

P = 84 - 80 = 4

There are 4 kg of pecans (and therefore 6 kg of cashews)

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Q: The Nutty Shoppe has 10 kg of mixed pecans and cashews which sell for 8.40 per kilogram Cashews alone sell for 8 per kilogram and pecans sell for 9 per kilogram How many kilograms of pecans are?
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The Nutty Shoppe has 10 kg of mixed pecans and cashews which sell for 8.40 per kilogram Cashews alone sell for 8 per kilogram and pecans sell for 9 per kilogram How many kilograms of cashews are?

Sale of 10kg of mixed nuts produces income of 10 x 8.4 = 84 Income from sale of cashews = C x 8 where C is the weight of cashews in kg. Income from sale of pecan nuts = (10 - C) x 9 as weight of pecan nuts is (10 - C) kg BUT : 8C + 9(10 - C) = 84 8C + 90 - 9C = 84 6 = C There are 6 kg of cashew nuts (and therefore 4 kg of pecan nuts)


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Related questions

The Nutty Shoppe has 10 kg of mixed pecans and cashews which sell for 8.40 per kilogram Cashews alone sell for 8 per kilogram and pecans sell for 9 per kilogram How many kilograms of cashews are?

Sale of 10kg of mixed nuts produces income of 10 x 8.4 = 84 Income from sale of cashews = C x 8 where C is the weight of cashews in kg. Income from sale of pecan nuts = (10 - C) x 9 as weight of pecan nuts is (10 - C) kg BUT : 8C + 9(10 - C) = 84 8C + 90 - 9C = 84 6 = C There are 6 kg of cashew nuts (and therefore 4 kg of pecan nuts)


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