SOLUTION: if 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number. Find the number?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: if 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number. Find the number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 863175: if 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal 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!
if 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number.
Find the number?
4%2Fn - 3 = 5%2F2 * 1%2Fn
4%2Fn - 3 = 5%2F%282n%29
multiply both sides by 2n, results:
2(4) - 3(2n) = 5
8 - 6n = 5
8 - 5 = 6n
3 = 6n
n = 3/6
n = 1%2F2
:'
You can confirm this, replace n with 1/2 in the original equation