Phil and Stacy make repeating patterns using shapes. Phil's rule is "oval, square." Stacy's rule is

Question

"oval, square, circle, oval." They both have 96 shapes in their patterns. Which pattern has more ovals?
(1 point)
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.

Answer 1

To determine which pattern has more ovals, let's analyze both Phil's and Stacy's patterns.

Phil's Pattern:

• Rule: "oval, square"
• The pattern consists of 2 shapes: oval, square
• To find out how many times the pattern repeats to make 96 shapes, we divide 96 by 2: \[ 96 \div 2 = 48 \]
• Since each pattern contains 1 oval, Phil has: \[ 48 \text{ ovals} \]

Stacy's Pattern:

• Rule: "oval, square, circle, oval"
• The pattern consists of 4 shapes: oval, square, circle, oval
• To find out how many times the pattern repeats to make 96 shapes, we divide 96 by 4: \[ 96 \div 4 = 24 \]
• Since each pattern contains 2 ovals, Stacy has: \[ 24 \times 2 = 48 \text{ ovals} \]

Conclusion:

• Phil has 48 ovals.
• Stacy also has 48 ovals.

So, the correct answer is: They both have 48 ovals.