brand A granola is 25% nuts and dried fruit and brand B granola is 10% nuts and dried fruit. how much of sweet item A and sweet item B should be mixed to form a 30-lb batch of sweets that is 22% nuts and dried fruit?

Question

Mathematics

Boomer

16 September, 10:19

brand A granola is 25% nuts and dried fruit and brand B granola is 10% nuts and dried fruit. how much of sweet item A and sweet item B should be mixed to form a 30-lb batch of sweets that is 22% nuts and dried fruit?

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Answers (1)

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Fury · Answer 1

X = lbs of A

y = lbs of B

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x + y = 10

25x + 20y = 21*10

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put the system of linear equations into standard form

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x + y = 10

25x + 20y = 210

lbs of A = 2

y = lbs of B = 8