College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.9 - Modeling with Equations - P.9 Exercises - Page 72: 54

Answer

See below.

Work Step by Step

Let $x$ be the amount of $3$ ounce tea used, then the amount of $2.75$ ounce tea used is $80-x$. Then the equation of the mix is: $3x+2.75(80-x)=2.9\cdot80\\3x+220-2.75x=232\\0.25x=12\\x=48$ Thus he used $48$ ounces of the $3$ dollar tea and $32$ ounces of the $2.75$ dollar tea.
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