Q: Grace baked 4 whole pumpkin pies. She sold 1 whole pumpkin pie and gave 1 whole pumpkin pie to her friend. The remaining whole pumpkin pies were each sliced into 6 pieces. Her family ate 2/3 pieces. How many pieces of pumpkin pie were left?
A: Grace sold and gave a total of 1 + 1 = 2 whole pumpkin pie. Her family was left with 4 - 2 = 2 whole pumpkin pie. There were a total of 2 x 6 = 12 pieces made from the 2 whole pumpkin pie. Her family ate 12 x 2 / 3 = 8 pieces. Therefore, 12 - 8 = 4 pieces of pumpkin pie were left. The answer is 4.

Q: Andy bakes and sells birthday cakes. To make two cakes he spends $12 on ingredients, and $1 on packaging for each cake. Andy sells each cake for $15. How much money does Andy make for each cake?
A: Spending $12 on ingredients for 2 cakes, he spends 12 / 2 = $6 on ingredients per cake. Adding the cost of packaging, he spends 6 + 1 = $7 per cake. Selling each cake for $15, Andy's profit is 15 - 7 = $8 per cake. The answer is 8.

Q: At a convention, 16 of 36 delegates arrived with pre-printed name badges. Half of the remaining delegates made their own, hand-written name badges. How many delegates were not wearing name badges?
A:
There were 36 - 16 = 20 without pre - printed name badges. Then 20 / 2 = 10 made hand - written badges. There were 20 - 10 = 10 with no name badge. The answer is 10.