Algebra 1

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

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 684: 45

Answer

$32 \space L$,$18 \space L$

Work Step by Step

As per the given statement let us consider $a$ be the amount of solution with quantity of acid 80% and $b$ be the amount of solution with quantity of acid 30%. Thus, $a+b=50$ ...(1) and $0.8a+0.3b=0.62(50)$ ...(2) From equation (1), we have $b=50-a$ Plug $b=50-a$ in $0.8a+0.3b=0.62(50)$ $0.8a+0.3(50-a)=0.62(50)$ $a=32 \space L$ and $b=50-32=18$ L Hence, the answers are: is $32 \space L$,$18 \space L$
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