Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises: 23

Answer

9 adults and 2 children.

Work Step by Step

Let x be total number of adults, y be total number of children. System of equations: x+y=11 22x+15y=228 For first equation, subtract x from both sides: y=11-x Substitue value of y: 22x+15(11-x)=228 =>22x+165-15x=228 (Distributive property)-> 7x=63 -> x =9 (Combine like terms and simplify) When x=9, 22(9)+15y=228, then 198+15y=228=> 15y=30=>y=2 (Substitute x to solve for y)
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