First off who needs 75 cards?? Emily signed 2/5 or .4 of 75 so EMILY SIGNED 30 CARDS (caps helps me stay organized) Josh, that slacker, signed 1/9 or .11(repeating) of the remaining 45 cards so JOSH SIGNED 5 CARDS there are 40 unsigned cards and Tatiana signed 2/10 or .2 of them so TATIANA SIGNED 8 CARDS so 40-8=32 there are 32 cards left