There are 5 20% in 100% ( 20 x 5 = 100)
So 10% of a number would be 12 x 5 = 60
Then there are 10 10% in 100% ( 10 x 10 = 100).
So if 10% = 60, then 100% = 60 x 10 = 600.
The starting value is 600
600 x 10% = 600 x 0.1 = 60
60 x 20% = 60 x 0.2 = 12
Now you have the starting value you can calculate the other answer:
600 x 20% = 600 x 0.20 = 120
120 x 10% = 120 x 0.10 = 12
The answer would be 12
Answer:
12
Step-by-step explanation:
Long Answer:
"20% of 10% of a number is 12" translates to:
.2 (times) .1 (times) x = 12
of translated to times.
20%=.20 or .2
10%=.10 or .1
number translated to variable.
is translated to equals.
We have the following equation to solve:
[tex].2 \cdot .1 \cdot x=12[/tex]
Simplifying the .2 times .1 part:
[tex].02 \cdot x=12[/tex]
Divide both sides by .02:
[tex]x=\frac{12}{.02}[/tex]
[tex]x=600[/tex]
Now it ask for "what is 10% of 20% of the same number?"
Multiplication is communicative and I wouldn't have done all of this work if I had seen them just switch the 10% and 20% around. The answer is 12.
But for fun since we already done all of this work!
"10% of 20% of 600" translates to:
.1 (times) .2 (times) 600
[tex].1 \cdot .2 \cdot 600[/tex]
[tex].02 \cdot 600[/tex]
[tex]12[/tex].
Short Answer:
.2(.1)x=12 so .1(.2)x=12
Multiplication is commutative is the reason the answer is 12.
