SOLUTION: Two lots are purchased for $375,000. One lot costs 25% less than the other. What did each lot cost?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Two lots are purchased for $375,000. One lot costs 25% less than the other. What did each lot cost?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 981344: Two lots are purchased for $375,000. One lot costs 25% less than the other. What did each lot cost?
Found 2 solutions by macston, MathLover1:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
x=cost of more expensive lot; 0.75x=other lot
.
x+0.75x=$375,000
1.75x=$375,000
x=$214285.71 ANSWER 1: The higher priced lot was $214285.71
.
Total-expensive lot=other lot
$375,000-$214285.71=$160714.29 ANSWER 2: The lower priced lot was $160714.29
.
CHECK:
One lot cost 25% less.
$214285.71-(($214285.71)(0.25))=$214285.71-$53571.43=$160714.28

Answer by MathLover1(20854) About Me  (Show Source):
You can put this solution on YOUR website!
Two lots are purchased for $375,000. One lot costs 25% less than the other. What did each lot cost?
let lot cost be x, then the other lot cost is x-%2825%2F100%29x=x-0.25x
if both lots are purchased for $375000, then we have
$x%2B%28x-0.25x%29=375000
$2x-0.25x=375000
$1.75x=375000
$x=375000%2F1.75
$x=37500000%2F175
$x=214285.7142857143
x-0.25x=214285.7142857143-0.25%2A214285.7142857143
x-0.25x=214285.7142857143-53571.42857142857
x-0.25x=160714.2857142857
so, the cost of the one lot is:
$x=214285.7142857143 or rounded
$highlight%28x=214285.71%29
and the other lot:
$160714.2857142857 or rounded
$highlight%28160714.29%29
check:
$214285.7142857143%2B160714.2857142857=375000+
or
$214285.71%2B160714.29=375000+