Back to 11.6 Solving Systems with Gaussian Elimination

11.6 Exercise 84

Avg difficulty 2.5

Set up the augmented matrix that describes the situation, and solve for the desired solution.

A bag of mixed nuts contains cashews, pistachios, and almonds. Originally there were 900 nuts in the bag. 30% of the almonds, 20% of the cashews, and 10% of the pistachios were eaten, and now there are 770 nuts left in the bag. Originally, there were 100 more cashews than almonds. Figure out how many of each type of nut was in the bag to begin with.

OpenStax Algebra and Trigonometry 2e, 11.6 Solving Systems with Gaussian Elimination, exercise 84

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.