SOLUTION: the product of two more than a number and three times the reciprocal of the number is 15/4. find the number.

Algebra ->  Expressions-with-variables -> SOLUTION: the product of two more than a number and three times the reciprocal of the number is 15/4. find the number.      Log On


   

Question 889615: the product of two more than a number and three times the reciprocal of the number is 15/4. find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
just write an equation for what it says
:
the product of two more than a number and three times the reciprocal of the number is 15/4.
(n+2) * 3%2Fn = 15%2F4
We can write it
%283%28n%2B2%29%29%2Fn = 15%2F4
cross multiply
12(n+2) = 15n
12n + 24 = 15n
24 = 15n - 12n
24 = 3n
n = 24/3
n = 8
:
;
see if that works
(8+2) * 3%2F8 = 15%2F4
30%2F8 = 15%2F4