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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].
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