# Systems of Linear Equations: Word Problem

Please help with the following problem that involves systems of linear equations.

A cookie company makes three kinds of cookies, peanut butter, sugar,and oatmeal packaged in small, medium, and large boxes. The small box contains 1 dozen peanut butter and 1 dozen sugars; the medium box contains 2 dozen peanut butters, 1 dozen sugars, and 1 dozen oatmeal cookies; the large box contains 2 dozen peanut butter, 2 dozen sugars, and 3 dozen oatmeal. If you require 15 dozen peanut butter, 10 dozen sugars and 11 dozen oatmeal cookies, how many of each size box should you buy?

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Problem: A cookie company makes three kinds of cookies, peanut butter, sugar,and oatmeal packaged in small, medium, and large boxes. The small box contains 1 dozen peanut butter and 1 dozen sugars; the medium box contains 2 dozen peanut butters, 1 dozen sugars, and 1 ...

#### Solution Summary

A word problem is solved using systems of linear equations and matrix notation. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.