Question 69240
An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork.  Find the actual cost of each artwork.

----------------------
Let original cost of the two artworks be x and y respectively.
If he gets 25% profit on the 1st he gets 1.25x dollars
If he gets 10% profit on the 2nd he get 1.10x dollars.
EQUATION: 
1.25x+1.10y=1520
If he switches the profit numbers he will get the following profit:
1.10x + 1.25y = 1535
---------
I'll let you solve the system of equations.
Cheers,
Stan H.