Problema Solution

A health food store sells oatmeal for $3.60 per pound and bran flakes for $4.80 per pound. How many pounds of each should be used to get a mixture of 30 pounds that sells for $4.00 a pound?

Answer provided by our tutors

let


x = lbs of oatmeal

y = lbs of bran flakes


we need to get a mixture of 30 lbs


x + y = 30


the mixture sells for $4.00 a pound


3.60x + 4.80y = 4.00*30


3.60x + 4.80y = 120


by solving the system of equations


x + y = 30

3.60x + 4.80y = 120


we find


x = 20 lbs


y = 10 lbs


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20 lbs of oatmeal and 10 lbs of bran flakes should be used for the mixture.