# How much should you pay for a mixture of 1 pound of each of the four kinds?

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A mixed packet of nuts contains 1 pound of walnuts and 2 pounds of Brazil nuts. It costs exactly \$2. A packet containing 4 pounds of filberts and 1 pound of walnuts costs \$3. And for only \$1.50, you can buy a mixed packet of 3 pounds of almonds, 1 pound of walnuts, and 1 pound of filberts.

How much should you pay for a mixture of 1 pound of each of the four kinds?

posted Aug 12, 2014

## 1 Solution

Although there is not enough information to say how much each individual nut costs, a pound of each type will cost you \$2,-
Based on statement 2 and 3 it is clear that filberts cost \$0.50 more than almonds.
If I take halve of the first statement I have 0.5 pound walnuts and 1 pound Brazil nuts for \$1.00.
If I take half of the second statement I have 0.5 pound walnuts and 2 pound filberts for \$1.50.
Combined is that 1 pound walnuts, 1 pound Brazil nuts, 2 pounds filberts for \$2.50.
As 1 pound of filberts = 1 pound of almost + \$0.50, I have 1 pound of all for \$2.00.

solution Apr 20, 2015 by

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