Problema Solution

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 B should be mixed to form a 10-lb batch of sweets that is 16% nuts and dried fruit?

Answer provided by our tutors

let


a = lbs of the brand A

b = lbs of the brand B


the mix is a 10-lb batch of sweets that is 16% nuts and dried fruit


a + b = 10


0.25a + 0.10b = 0.16*10


by solving the above system we find


a = 4 lbs


b = 6 lbs


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4 lbs of the Brand A and 6 lbs of the Brand B should be used for the mix.