SOLUTION: 1. Write and solve each of the following linear equations. a. Amanda has a certain amount of money. If she spends $12, then she has ⅕ of the original amount left.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. Write and solve each of the following linear equations. a. Amanda has a certain amount of money. If she spends $12, then she has ⅕ of the original amount left.       Log On


   

Question 1155604: 1. Write and solve each of the following linear equations.

a. Amanda has a certain amount of money. If she spends $12, then she has ⅕ of the original amount left. How much money did Amanda have originally? Show your work.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

x - 12 = %281%2F5%29%2Ax


Multiply both sides by 5.


5x - 60 = x

5x - x  = 60

4x      = 60

 x =    = 60/4 = 15.


ANSWER.  She had 15 dollars originally.

Solved.


Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


If the amount she has left after spending $12 is 1/5 of what she started with, then the $12 she spent was 4/5 of what she started with:

%284%2F5%29x+=+12
x+=+12%285%2F4%29+=+15

Amanda started with $15.