High School

What number is [tex]$0.15 \%$[/tex] of [tex]$10.5$[/tex]?

A. 15.75
B. 7000
C. 50
D. 1.575

Answer :

Sure! Let's solve the problem step by step:

We want to find out what number 0.15% of is equal to 10.5.

1. Begin by writing the percent as a decimal. To convert 0.15% to a decimal, simply divide by 100:
[tex]\[
0.15\% = \frac{0.15}{100} = 0.0015
\][/tex]

2. Set up an equation where 0.15% of a number [tex]\( x \)[/tex] equals 10.5:
[tex]\[
0.0015 \times x = 10.5
\][/tex]

3. To solve for [tex]\( x \)[/tex], divide both sides of the equation by 0.0015:
[tex]\[
x = \frac{10.5}{0.0015}
\][/tex]

4. Calculate the division:
[tex]\[
x = 7000
\][/tex]

So, 0.15% of 7000 is indeed 10.5. The correct answer to the problem is 7000.