Bunuel wrote:

A store sells five different kinds of nuts. If it is possible to buy x pounds of the most expensive nuts for $3.20 and x pounds of the cheapest nuts for $1.40, then which of

the following could be the cost of purchasing a mixture containing x pounds of each type of nut?

(A) $1.76

(B) $2.84

(C) $3.54

(D) $13.60

(E) $16.00

From a logical standpoint, we can eliminate Options A,B, and C because

if the cheapest nut costs $1.4 and we have to buy x pounds of each of the 5 nuts.

Option E also will not work since the costliest nut will cost $3.2 and all the 5

varieties would need to cost $3.2 for the total cost to be $16.00.

We are left with

Option D($13.60) which can be realized by having 3 boxes of the

costliest nut, 1 box of the cheapest nut and one box which costs $2.6.

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