Let's solve the problem.

Problem Restatement:

Seventy-five percent of the apple pies were sold on Tuesday, and the remainder were thrown out. If 12 apple pies were sold on Tuesday, how many were thrown out?

Step-by-Step Solution:

1. Determine the total number of apple pies (denoted by $x$): Since 75% of the apple pies were sold on Tuesday and this equals 12 pies, we can set up the equation: $0.75x = 12$

   Solve for $x$: $x = \frac{12}{0.75} = 16$ So, there were 16 apple pies in total.

2. Find the remaining 25% that were thrown out: If 75% were sold, the remaining 25% were thrown out. Calculate 25% of $x = 16$: $0.25 \times 16 = 4$

   Thus, 4 pies were thrown out.

Final Answer:

4 pies were thrown out.

Would you like me to explain any step in more detail?

Here are 5 related questions to expand your understanding:

1. What if 60% of the pies were sold, and 20 pies were sold on Tuesday? How many were thrown out?
2. How would the total change if only 10 pies were sold at 75%?
3. What percentage would represent the pies thrown out if the total was 40 pies?
4. How do you calculate percentages of a whole number in other scenarios, such as pricing?
5. Can this problem be solved using ratios instead of percentages?

Tip:

To quickly calculate a percentage of a number, multiply the number by the percentage in decimal form (e.g., $25\% = 0.25$).