MATH QUESTION

Question

Eva took two sizes of her paintings to sell at the flea market.  She sold a total of 32 painting.  Her smaller paintings sold for $42 each and her larger paintings sold for $64 each.  If she made a total of $1,762 at the market, how many smaller paintings did she sell?

Answer 1

First of I am impressed: I sell my handmade wooden bowls at craft shows.  I wish I could see $1700 at such a show!

 

Anyway: Let S = # small paintings and L = the number of large ones

 

The S + L = 32

and 42S + 64L = 1762

 

S = 32 - L; substitute

 

42(32 - L) + 64L = 1762

1344 - 42L + 64L = 1726

22L = 418

L = 19

and 

S = 13