A Gift Store Is Making a Mixture of Almonds, Pecans

question 217

Short Answer

A gift store is making a mixture of almonds, pecans, and peanuts, which sell for $2.50 per pound, $4.00 per pound, and $1.00 per pound, respectively. The storekeeper wants to make 20 pounds of the mix to sell at $1.90 per pound. The number of pounds of peanuts is to be three times the number of pounds of pecans. Find the number of pounds of each to be used in the mixture. Please enter your answer as an ordered triple ( x , y , z ), where x , y , z are the numbers of pounds of almonds, pecans, and peanuts, respectively.

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Definitions:

Balanced Chemical Equation

A symbolic representation of a chemical reaction in which the number of atoms for each element is equal on both the reactant and product sides.

Coefficients

Numerical or constant multipliers that are placed before variables in equations to denote how many units of the variable are involved.

Gaseous Reaction

A chemical reaction that involves substances in the gas phase.

Final Mixture

The end product of a process in which two or more substances are combined, yielding a uniform composition throughout.