Question #7f121

1 Answer
Jan 30, 2017

Answer:

The number is #60#.

Explanation:

Hey Sophie, you're not dumb at all. Let's break up this problem.

A percent is one-hundredth of any number. By inference, twenty percent (#20%#) is twenty-hundredths of any number, which is the same as saying the product of the number and #20/100#.

Now there are three factors here:
1. The number
2. The percentage
3. The percent amount (the product)

If we know any two of these, the third can be calculated easily. We can use the formula:

#nxxp=a#

where n=number, p=percent, and a=percent amount.

From the data you have given, we know p (#20%# or #20/100#) and a (#12#), hence:

#nxx20/100=12#

Reduce the fraction #20/100# by dividing both the numerator and denominator by #20#.

#nxx(1cancel20)/(5cancel100)=12#

#nxx1/5=12#

Multiply both sides by #5#.

#nxx1/5xx5=12xx5#

#nxx1/(1cancel5)xx1cancel5=60#

#n=60#

Hence the number is #60#.