BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 31E
To determine

To find: The age of movie star.

Expert Solution

Answer to Problem 31E

The age of movie star is 40 years.

Explanation of Solution

Given:

Present age of movie star is four times as her daughter.

Seven years ago movies star age is 11 times of her daughter.

Calculation:

Let the age of daughter be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Present age of daughter x
Present age of movie star 4x
Daughter age seven years ago x7
Movie star age seven years ago 4x7

Model the equation for the above information.

Staragesevenyearsago=11(Daughteragesevenyearsago)4x7=11(x7)

Simplify the above equation for x,

4x7=11x77(Distributiveproperty)11x4x=7777x=70x=10(Divideby7)

Present age of movie star,

Age=4x=4×10=40

Thus, the age of movie star is 40 years.

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