Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Discover reliable and timely information on any topic from our network of experienced professionals.

Read the problem and follow the directions.

Juanita is 15, five times the age of her brother, Frank. How old is Frank?

Let [tex]a[/tex] stand for Frank's age: [tex]5a = 15[/tex]

How would you solve this equation? Circle the answer:

A. Subtract 5 from both sides of the equation.

B. Multiply both sides of the equation by 5.

C. Multiply both sides of the equation by [tex]\frac{1}{5}[/tex].


Sagot :

To solve the equation [tex]\( 5a = 15 \)[/tex] and find the age of Frank, we need to isolate the variable [tex]\( a \)[/tex]. Let's go through the steps to do this.

1. We start with the equation:
[tex]\[ 5a = 15 \][/tex]

2. To isolate [tex]\( a \)[/tex], we need to undo the multiplication by 5. The way to do this is by dividing both sides of the equation by 5:
[tex]\[ \frac{5a}{5} = \frac{15}{5} \][/tex]

3. Dividing both sides by 5 simplifies the equation to:
[tex]\[ a = 3 \][/tex]

So, Frank is 3 years old.

The correct choice from the options given is:
c. Multiply both sides of the equation by [tex]\(\frac{1}{5}\)[/tex].