Question

If 10% of x is 20, what is 23% of x?
A.
33
B.
46
C.
200
D.
230

Answer 1

There are two steps to this problem. The first step is to solve for x. The second step is to answer the question.

"10% of x is 20"

First, let's convert the 10% into a decimal = 0.10
Then our math problem becomes
0.10 * x = 20

Answer 2

What number times 0.1 would equal 20?

Answer 3

um i think 20 times will equal to 0.20

Answer 4

hmmm
0.1 times 20 would equal 2
but I want 0.1 times _____ to equal 20

Answer 5

Let me try to explain a short cut (but because it is a short cut, it might not make sense).

3 * 5 = 15
for the same reason
15 / 3 = 5

You can agree that both of the things I wrote up there are correct math equations. But using the same format, I can say:

0.10 * x = 20
can be rewritten as
x = 20 / 0.10

so now what is 20 divided by 0.1?

Answer 6

um i am so confused

Answer 7

what is 20 divided by 0.10?

Answer 8

200 i think

Answer 9

awesome!
so that means 0.1 * x = 20
then x = 200 just like you said

Answer 10

now we want to know

23% x 200

Answer 11

23% converted to a decimal is

0.23


what is 0.23 x 200 = ?

Answer 12

46

Answer 13

that's your answer! :)