Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.2 - 3 x 3 Systems of Equations - Problem Set 11.2: 26

Answer

The chef cost 35 dollars per hour, the salad maker costs 20 dollars per hour, and the server costs 15 dollars per hour.

Work Step by Step

Let c be the cost of the chef, m be the cost of the salad maker, and s be the cost of the server. Thus, we obtain: $ c + m + s = 70 \\ m = s +5 \\ c = s + m$ We plug equation three into equation one to find: $ c + c = 70 \\ c = 35$ We plug equation two into equation three to find: $ c = s + s + 5 \\ 35 = 2s +5 \\ 2s = 30 \\ s= 15 $ Thus, we obtain: $m = s+5 = 15 + 5 = 20$
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