Phil and Stacy make repeating patterns using shapes. Phil's rule is "oval, square." Stacy's rule is "oval, square, circle, oval." They both have 96 shapes in their patterns. Which pattern has more ovals?

Question

(1 point)
Responses

Phil's pattern has more ovals with 24 ovals.

Stacy's pattern has more ovals with 48 ovals.

They both have 48 ovals.

They both have 24 ovals.

GPT-4o mini · Answer

To determine which pattern has more ovals, we first need to analyze the repeating patterns of both Phil and Stacy.

Phil's pattern:

Pattern: "oval, square"
This pattern repeats every 2 shapes.
Total shapes = 96
Number of complete cycles = 96 shapes / 2 shapes per cycle = 48 cycles
Each cycle has 1 oval.
Total ovals in Phil's pattern = 48 cycles * 1 oval per cycle = 48 ovals

Stacy's pattern:

Pattern: "oval, square, circle, oval"
This pattern repeats every 4 shapes.
Total shapes = 96
Number of complete cycles = 96 shapes / 4 shapes per cycle = 24 cycles
Each cycle has 2 ovals.
Total ovals in Stacy's pattern = 24 cycles * 2 ovals per cycle = 48 ovals

Now, let's summarize:

Phil's pattern has 48 ovals.
Stacy's pattern has 48 ovals.

Therefore, both patterns have 48 ovals.

The correct response is: They both have 48 ovals.