# Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 01 (c)/Statement

Three engineering students, Xiuying, Arjan, and Marianne decide to take a summer job painting homes. Xiuying paints three times as fast as Marianne and twice as fast as Arjan and Marianne combined. All three together paint a room in four hours.

(c) Solve the system above using Gaussian elimination on the augmented matrix. How many rooms can each of the three friends paint in an hour? Check that your answer matches the original information in the question.