Algebra 1

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

Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Practice and Problem-Solving Exercises - Page 400: 36

Answer

a) $10 \leq x+y$ $x+y\leq20$ $x \geq 2$ $25x+.4y \leq90$ Please see the graph. b) Answers may vary, but one possible answer is as follows: $x=3$, $y=12$ mass is 15 grams, cost of gold is 75 dollars, cost of silver is 4.80 (total cost is $79.80)
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Work Step by Step

a) x = grams of gold, y = grams of silver The graph was made using graphing software. $10 \leq x+y$ $x+y\leq20$ $x \geq 2$ $25x+.4y \leq90$ b) $3+12= 15$ $3*25 + 12*.4 = cost$ $75 + 4.8 = 79.8 = cost$
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