Back to 11.7 Solving Systems with Inverses

11.7 Exercise 80

Avg difficulty 2.5

Write a system of equations that represents the situation. Then, solve the system using the inverse of a matrix.

Jay has lemon, orange, and pomegranate trees in his backyard. An orange weighs 8 oz, a lemon 5 oz, and a pomegranate 11 oz. Jay picked 142 pieces of fruit weighing a total of 70 lb, 10 oz. He picked 15.5 times more oranges than pomegranates. How many of each fruit did Jay pick?

OpenStax Algebra and Trigonometry 2e, 11.7 Solving Systems with Inverses, exercise 80

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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.