Answer:
6 pieces of the original pizza remain.
Explanation:
Initially, the pizza was divided into 16 equal pieces. Violet and Sophie each ate 1/8 of the pizza on Friday, so a total of 1/8 + 1/8 = 1/4 of the pizza was eaten on Friday.
This means that 3/4 of the pizza remained after Friday.
The next day, Sophie ate 1/2 of the remaining pizza. So she ate 1/2 * 3/4 = 3/8 of the original pizza.
Therefore, the amount of pizza that remains is 3/4 - 3/8 = 3/8 of the original pizza.
To convert this fraction to a number of pieces, we need to multiply it by the total number of pieces the pizza was divided into:
3/8 * 16 = 6 pieces