SOLUTION: when 75% of a number is added to 6, the result is 3 more than the number. Find the number

Algebra ->  Rectangles -> SOLUTION: when 75% of a number is added to 6, the result is 3 more than the number. Find the number      Log On


   

Question 214245: when 75% of a number is added to 6, the result is 3 more than the number. Find the number
Found 2 solutions by rfer, jojo14344:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
.75x+6=x+3
-.25x=-3
.25x=3
x=12
---------------
.75(12)+6=12+3

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the number

When 75% of a number is added to 6 = green%28highlight%280.75%28x%29%2B6%29%29
..the result is 3 more than the number:
green%28highlight%280.75%28x%29%2B6%29%29=red%28highlight%283%2Bx%29%29, EQN 1

Re-group similar terms:
6-3=x-0.75x
3=0.25x ----> cross%283%29+12%2Fcross%280.25%29=cross%280.25%29x%2Fcross%280.25%29
red%28x=12%29, Answer

Check, go back EQN 1:
%280.75%2912%2B6=3%2B12
9%2B6=15
15=15

Thank you,
Jojo