Problema Solution

A grocery mixes some dried cranberries that cost $6 per pound with some granola that costs $2 per pound. How many pounds of each should be used to make a 50-pound mixture that costs $2.64 per pound?

Answer provided by our tutors

let


x = lbs of cried cranberries


y = lbs of granola


we need to make 50-pound mixture that costs $2.64 per pound:


x + y = 50


6x + 2y = 2.64*50


by solving the above system of equations we find:


x = 8 lbs


y = 42 lbs


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8 pounds of dried cranberries and 42 pounds of granola should be used for the mix.