Cashew nuts are sold at $15.00/kg. Walnuts are sold at $12.00/kg. What quantities of each nut would a store owner put into a 100-kg barrel so that it could be sold for $13.20/kg?

Question

Cashew nuts are sold at $15.00/kg. Walnuts are sold at $12.00/kg. What quantities of each nut would a store owner put into a 100-kg barrel so that it could be sold for $13.20/kg?
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15.00c+12.00w= 31.20
C+w= 100

Are these equations right?

Henry · Accepted Answer

15c + 12w = 13.20*100 = 1320. Eq1: 15c + 12w = 1320. Eq2: C + W = 100. Multiply both sides of Eq2 by (-15) and add the Eqs. Remember that C and W are in KGs.