How must a grocer mix 4 types of peanuts worth 54 c, 72 c, $1.2 and $1.44 per pound so as to obtain a mixture at 96 cents per pound?	Choose the correct choice from the following options.
A) 8:4:4:7 B) 24:12:12:50 C) 4:8:7:4 D) 16:42:28:10 E) Cannot be uniquely determined
As we know Sum of (Respective Quantity x Respective Price) = Total Price = Average price x Total Quantity   Option 1   Ratio of quantity mixed - 8a:4a:4a:7a   Total quantity = 23a parts (8+4+4+7)   (8a.9 + 4a.12 + 4a.20 + 7a.24) = 16.23a   368a = 368a   LHS = RHS   Thus option 1 satisfy the condition   Option 2   Ratio of quantity mixed - 24a:12a:12a:50a or 12a:6a:6a:25a   Total quantity = 49a parts   (12a.9 + 6a.12 + 6a.20 + 25a.24) = 16.49a   900a = 784a   LHS is not equal to RHS   Thus option 2 does not satisfy the condition   Option 3   Ratio of quantity mixed - 4a:8a:7a:4a   Total quantity = 23a parts   (4a.9 + 8a.12 + 7a.20 + 4a.24) = 16.23a   368a = 368a   LHS = RHS   Thus option 3 satisfy the condition   As we are asked a unique case, a problem can't have two solutions. Thus answer is it Cannot be uniquely determined   Answer Cannot be uniquely determined
<result>E</result>
How must a grocer mix 4 types of peanuts worth 54 c, 72 c, $1.2 and $1.44 per pound so as to obtain a mixture at 96 cents per pound?