You buy a total of pounds of two kinds of candy. One is for your upcoming party and costs $ 2.- per pound. However, you also treat yourself to a fancy kind that costs $ 10 per pound, to be enjoyed in solitude. You spend a total of $ 12.- and buy __________ pounds of the gourmet candy.

I don't think the number is an integer, and I've tried setting this up as two equations but I think I'm making a mistake somewhere.

I really appreciate the help!