At her birthday party, Marcie's guests ate 23
of her birthday cake, and her family ate 14
of the cake. How much cake was left after her party?
Marcie's guests and family ate a total of 23 + 14 = <<23+14=37>>37 cake.
Therefore, 37 cake was eaten and there was 41 - 37 = <<41-37=4>>4 cake left before the party. Answer: \boxed{4}.
To find out how much cake was left after the party, we need to subtract the amount eaten from the original amount of cake.
The guests ate 23 out of the cake, and the family ate 14 out of the cake.
To find out the total amount eaten, we can add the amounts eaten by the guests and the family: 23 + 14 = 37.
Since the total amount eaten is 37, we can subtract it from the original amount of cake to find the amount left: Original amount - Total amount eaten = Amount left.
So, to find the amount left, we need to subtract 37 from the original amount of cake.