Final answer:
It will take Amy 84 minutes to solve 12 puzzles and 98 minutes to solve 14 puzzles.
Step-by-step explanation:
To determine how long it will take Amy to solve 12 puzzles, we can set up a proportion involving the number of puzzles and the time it takes. We can write the proportion as:
4 puzzles / 28 minutes = 12 puzzles / x minutes
Cross multiplying, we get:
4 * x = 12 * 28
x = (12 * 28) / 4
x = 84 minutes
Therefore, it will take Amy 84 minutes to solve 12 puzzles. Similarly, for 14 puzzles:
4 puzzles / 28 minutes = 14 puzzles / x minutes
Cross multiplying, we get:
4 * x = 14 * 28
x = (14 * 28) / 4
x = 98 minutes
Therefore, it will take Amy 98 minutes to solve 14 puzzles.