SOLUTION: When four-sevenths of a number is subtracted from the number, the result is two less than one-half of that number. Find the number.

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Question 972457: When four-sevenths of a number is subtracted from the number, the result is two less than one-half of that number. Find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
When four-sevenths of a number is subtracted from the number,
the result is two less than one-half of that number.
Find the number.
:
let n = the number
write an equation for what it says
n - 4%2F7n = 1%2F2n - 2
write it
7%2F7n - 4%2F7n = 1%2F2n - 2
3%2F7n = 1%2F2n - 2
multiply equation 14, cancel the denominators
2(3n) = 7n - 14(2)
6n = 7n - 28
28 = 7n - 7n
n = 28
:
:
You can confirm this solution in the original equation
28 - 4%2F7(28) = 1%2F2(28) - 2