SOLUTION: 5 times of a mystery number is 1980 more than 5/12 of the same mystery number. Find the mystery number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 5 times of a mystery number is 1980 more than 5/12 of the same mystery number. Find the mystery number?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 430182: 5 times of a mystery number is 1980 more than 5/12
of the same mystery number. Find the mystery number?

Found 2 solutions by ewatrrr, algebrahouse.com:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Let n represent that number
Question states***
5n = (5/12)n + 1980
Solving for x
(55/12)n = 1980
n = 1980*12/55
n = 432
CHECKING our Answer***
5*432 = 2160 = 180 + 1980

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"5 times of a mystery number is 1980 more than 5/12
of the same mystery number. Find the mystery number?"

x = mystery number

5x = (5/12)x + 1980 {5 times the number is 1980 more than 5/12 the number}
60x = 5x + 23,760 {multiplied entire equation by 12, to clear fraction}
55x = 23,760 {subtracted 5x from both sides}
x = 432 {divided both sides by 55}

432 is the mystery number
www.algebrahouse.com