To determine how many ovals Phil and Stacy have in their patterns, we need to analyze the repeating patterns.
Phil's Pattern:
- The repeating sequence is "oval, square" which contains 1 oval and 1 square.
- Therefore, each complete cycle has 2 shapes (1 oval + 1 square).
- If he has a total of 96 shapes, then the number of complete cycles is: \[ \frac{96}{2} = 48 \text{ cycles} \]
- Since each cycle contains 1 oval, the total number of ovals Phil has is: \[ 48 \text{ ovals} \]
Stacy's Pattern:
- The repeating sequence is "oval, square, circle, oval," which contains 2 ovals, 1 square, and 1 circle.
- Therefore, each complete cycle has 4 shapes (2 ovals + 1 square + 1 circle).
- If she has a total of 96 shapes, then the number of complete cycles is: \[ \frac{96}{4} = 24 \text{ cycles} \]
- Since each cycle contains 2 ovals, the total number of ovals Stacy has is: \[ 24 \times 2 = 48 \text{ ovals} \]
Now we can compare the number of ovals:
- Phil has 48 ovals.
- Stacy has 48 ovals.
Therefore, they both have the same number of ovals (48).
So the correct response is:
- They both have 48 ovals.
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