Question

understanding rate concepts
1 it takes maya 30 minutes to solve 5 logic puzzles, and it takes amy 28 minutes to solve 4 logic puzzles. use models to show the rate at which each student solves the puzzles, in minutes per puzzle.
if maya and amy had the same number of puzzles to solve, who would finish first? explain.

Explanation:

Step1: Calculate Maya's rate

To find Maya's time per puzzle, divide total time by number of puzzles. Maya takes 30 minutes for 5 puzzles, so rate is $\frac{30}{5} = 6$ minutes per puzzle.

Step2: Calculate Amy's rate

Amy takes 28 minutes for 4 puzzles, so her rate is $\frac{28}{4} = 7$ minutes per puzzle.

Step3: Compare the rates

Maya's rate (6 min/puzzle) is less than Amy's rate (7 min/puzzle). A lower time per puzzle means faster solving.

Answer:

Maya would finish first because she takes 6 minutes per puzzle while Amy takes 7 minutes per puzzle, so Maya's solving rate is faster.