SOLUTION: If 2/3 of a number is 30, what is 1/3 of twice the number?

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Question 1520: If 2/3 of a number is 30, what is 1/3 of twice the number?
Found 3 solutions by ichudov, AlgebraLady88, Robee16:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Stupid way of solving it: First you need to find out the number.
%0D%0A%282%2F%0D%0A%0D%0A3%29%2Anumber+=+30
number+=+30%2A%283%2F2%29
number = 45
twice the number is twice 45 is 90
1/3 of 90 is 30.
Smarter way of solving it: two thirds is the same as 1/3 of twice, it is another way of saying the same thing. So, then, if 2/3 of a number is 30, 1/3 of twice the number is the same thing

Answer by AlgebraLady88(44) About Me  (Show Source):
You can put this solution on YOUR website!
This can be quickly solved using an equation with a variable . You can name this variable anything...x , y or whatever alphabet you like. I am going to use x for my solution below.
2/3*x= 30 (this equation represents the first sentence "if 2/3 of a number is 30"
Now, x would represent the part that refers to the 'number'
'Of' would mean multiply by.
Solve for x.
x= 30 divided by 2/3
x= 30*3/2
x= 45
The next part asks , "what is 1/3 of twice the number?"
We now know the number is 45. Twice the number would be 90.
So 1/3 of twice the number would be 1/3*90 = 30.


Answer by Robee16(18) About Me  (Show Source):
You can put this solution on YOUR website!
>> 2/3 of x = 30
>> x = 30%2F1 x 3%2F2 = 90%2F2 = 45

>> 45 x 2 = 90
>> 1%2F3 x 90%2F1 = 90%2F3 = 30