A party mix is made by adding nuts that sell for $2.502.50 per kg to a cereal mixture that sells for $11 per kg. How much of each should be added to obtain 6060 kg of a mix that will sell for $2.102.10 per kg

Question

Physics

First Mate

9 August, 06:53

A party mix is made by adding nuts that sell for $2.502.50 per kg to a cereal mixture that sells for $11 per kg. How much of each should be added to obtain 6060 kg of a mix that will sell for $2.102.10 per kg

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Answers (1)

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Amber Forbes · Answer 1

N = 44 kg

C = 60 - 44 = 16 kg

Explanation:

given,

cost of nuts = $2.50 per kg

cost of cereal mixture = $1 per kg

so the mix price should be = $ 2.10

total amount of added weight = 60kg

N + C = 60 kg

now

N * 2.50 + C * 1 = 60 * 2.10

N * 2.50 + (60-N) * 1 = 126

1.5 N = 126-60

N = 44 kg

C = 60 - 44 = 16 kg