Algebra 1

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

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Standardized Test Prep - Page 671: 63

Answer

No, the claim is not reasonable.

Work Step by Step

Since the theater has $18$ rows with $28$ seats per row, then the total seats in the theater is $$ 18(28)=504\text{ seats} .$$ Given that there are $445$ adults in the show, then the number of children is $$ 504-445=59\text{ children} .$$ Since an adult ticket costs $\$4$ and a child ticket costs $\$2.50$, then the revenue is $$ 445(4)+59(2.50)=1780+147.5=1927.5\text{ dollars} .$$ Hence, the claim that the revenue is $\$1935$ is not reasonable.
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