Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve the problem in 2 steps, one being Solving and the other being Comprehending. I'll start off with comprehending.
Comprehending
So, we know that 10% of a number is $16. That means that [tex]\frac{1}{10}[/tex] of the number "[tex]x[/tex]" is equal to $16.
A percentage is basically a fraction of something, for example, 25% of a number would be [tex]\frac{1}{4}[/tex] of the same number.
Example:
25% of 10 = [tex]\frac{1}{4} * 10 = 2.5[/tex]
2.5 is 25% of 10 = [tex]2.5 \div \frac{1}{4}=10[/tex]
Now that we know the basics, we can do the real solving.
Solving
To solve, the question, we can first read the problem and make an equation,
"10% of [tex]x[/tex] is 16."
We can then make a equation.
[tex]x(\frac{1}{10})=16[/tex]
[tex]x=16 \div \frac{1}{10} \\x=160[/tex]
After solving, we know that 10% of 160 is equal to 16. We can prove that with the following:
[tex]16*10=160[/tex]
After solving our equation, we can see that the answer is $160.
$16 is 10% of $160.
Cheers!
