Wiki User
∙ 14y agoSale 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)
Wiki User
∙ 14y agoLet x be the kilograms of pecans and y be the kilograms of cashews. From the given information, we have x + y = 10 and 9x + 8y = 84. Solving these equations simultaneously, we find that there are 6 kilograms of pecans.
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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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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