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: 33

Answer

40 years old

Work Step by Step

Let's say that $x$ is the daughter's age 7 years ago. We know that 7 years ago he was 11 times her age or $11*x$. So his current age must be $11*x+7$. We know that the daughter's current age is $x+7$. We also know that his current age is 4 times his daughter's current age, so: $11*x+7=4(x+7)$ We solve for $x$: $11*x+7=4*x+28$ $7*x=21$ $x=3$ So his current age is $11*x+7=11*3+7=33+7=40$. Thus the movie star is 40 years old.
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