SOLUTION: Barbara works for Real Realtors. Monthly she receives a commission of 3% of her total sales. Last month she sold two properties and her commission was $9600. The first property sol

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Barbara works for Real Realtors. Monthly she receives a commission of 3% of her total sales. Last month she sold two properties and her commission was $9600. The first property sol      Log On


   



Question 1155673: Barbara works for Real Realtors. Monthly she receives a commission of 3% of her total sales. Last month she sold two properties and her commission was $9600. The first property sold for $40,000 less than twice the second. What was the sale price of each property?
Found 3 solutions by greenestamps, Boreal, josmiceli:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


x = sale price of second property
2x-40000 = sale price of first ($40,000 less than twice the second)

3% of the total sales was $9600:

.03%28x%2B%282x-40000%29%29+=+9600
3x-40000+=+9600%2F.03+=+320000
3x+=+360000

I'll leave a little bit of the work for you to do to finish....


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
.03x=9600, 3 % commission of x worth of sales.
x=320,000, the combined price
one is x, the other is 2x-40000
that some is 3x-40000=320000
3x=360000
x=$120,000 and 2x-40000=$200,000
$120L and $200K

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the selling price of the 2nd property
+2x+-+40000+ = the selling price of the 1st property
------------------------
+.03x+%2B+.03%2A%28+2x+-+40000+%29+=+9600+
+.03%2A%28+x+%2B+2x+-+40000+%29+=+9600+
+3x+-+40000+=+320000+
+3x+=+360000+
+x+=+120000+
and
+2x+-+40000+=+2%2A120000+-+40000+
+2x+-+40000+=+240000+-+40000+
+2x+-+40000+=+200000+
--------------------------------
$120,000 = the selling price of the 2nd property
$200,000 = the selling price of the 1st property
------------------------------------------------------
check:
+.03%2A%28+x+%2B+2x+-+40000+%29+=+9600+
+.03%2A%28+120000+%2B+200000+%29+=+9600+
+.03%2A320000+=+9600+
+9600+=+9600+
OK