Question

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?

(1 point)
Responses

Phil's pattern has more ovals with 24 ovals.

Phil's pattern has more ovals with 24 ovals.

Stacy's pattern has more ovals with 48 ovals.

Stacy's pattern has more ovals with 48 ovals.

They both have 48 ovals.

They both have 48 ovals.

They both have 24 ovals.

Answer 1

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.**