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A Gift Store Is Making a Mixture of Almonds, Pecans

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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.


Definitions:

Equity Theory

A concept in social psychology that assesses the fairness of an individual's situation by comparing their input and outcome ratio to those of others.

Input-Outcome Ratio

A concept in equity theory referring to the balance between an individual's contributions to and the rewards they receive from their work or relationship.

Positive Reinforcement Technique

A behavior modification strategy that involves rewarding desirable behaviors to increase the likelihood of their recurrence.

Intrinsic Motivation

The drive to perform an activity for its own sake and personal rewards, rather than for some external reward or pressure.

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