AI Tutor
Back to 11.7 Solving Systems with Inverses

11.7 Exercise 76

Avg difficulty 2.5

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

A clothing store needs to order new inventory. It has three different types of hats for sale: straw hats, beanies, and cowboy hats. The straw hat is priced at $13.99, the beanie at $7.99, and the cowboy hat at $14.49. If 100 hats were sold this past quarter, $1,119 was taken in by sales, and the amount of beanies sold was 10 more than cowboy hats, how many of each should the clothing store order to replace those already sold?

OpenStax Algebra and Trigonometry 2e, 11.7 Solving Systems with Inverses, exercise 76

AI Tutor

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.