Problema Solution
how many pounds of walnuts worth $437/lb should be mixed with 4 pounds of pecans worth $3.73/lb to make a mixture worth $4.05/lb?
Answer provided by our tutors
Let X= pounds of walnuts
Let Y= pounds of pecans
Y=4 lb
Total Pounds= X + Y= 4 + X
Cost of Walnuts per Pound= $437/lb
Cost of Pecans per Pound= $3.73/lb
Total cost= $437/lb * X + ($3.73/lb)(4)= 473X + 14.92
Wanted cost per pound=$4.05/lb= (Total Cost)/(Total Pounds)
4.05= [473X + 14.92]/4 + X
[4 + X]4.05= 473X + 14.92
16.20+4.05X=473X + 14.92
8.72= 117X
X= 0.075 lb of Walnuts