Problema Solution

You have one type of chocolate that sells for $1.60/lb and another type of chocolate that sells for $4.70/lb. You would like to have 15.5 lbs of a chocolate mixture that sells for $1.80/lb. How much of each chocolate will you need to obtain the desired mixture?

Answer provided by our tutors

let


x = lbs of the type of chocolate that sells for $1.60/lb


y = lbs of the type of chocolate that sells for $4.70/lb


You would like to have 15.5 lbs of a chocolate mixture that sells for $1.80/lb


x + y = 15.5


1.60x + 4.70y = 1.80*15.5


by solving the above system of equations we find:


x = 14.5 lbs


y = 1 lbs


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you need 14.5 lbs of the type of chocolate that sells for $1.60/lb and 1 lbs of the type of chocolate that sells for $4.70/lb.