Question

Philand Slacy create repeating patterns using shapes. Phil's rule is "oval, square," and Stacy's rule is "oval, square, circle, oval." If they both have 96 shapes in their patterns, which pattern has more ovals?

A. Phil's pattern has more ovals with 24 ovals.
B. Stacy's pattern has more ovals with 48 ovals.
C. They both have 48 ovals.
D. They both have 24 ovals.

Answer 1

Both Phil's and Stacy's patterns have the same number of ovals, which is 48 ovals.

Step-by-step explanation:

To determine which pattern has more ovals, we need to compare the number of ovals in each pattern. Phil's rule is "oval, square" and Stacy's rule is "oval, square, circle, oval."

Let's analyze Phil's pattern:

1. Oval
2. Square
3. Oval
4. Square
5. Oval
6. Square
7. Oval
8. Square

In Phil's pattern, the "oval" shape is repeated every other shape, which means there are half as many ovals as there are shapes in total. Since there are 96 shapes in total, there are 48 ovals in Phil's pattern.

Now let's analyze Stacy's pattern:

1. Oval
2. Square
3. Circle
4. Oval
5. Square
6. Circle
7. Oval
8. Square
9. Circle
10. Oval
11. Square
12. Circle
13. Oval
14. Square
15. Circle
16. Oval
17. Square
18. Circle
19. Oval

In Stacy's pattern, the "oval" shape is repeated after every two shapes. Since there are 96 shapes in total, there are 48 ovals in Stacy's pattern as well.

Therefore, both Phil's and Stacy's patterns have the same number of ovals, which is 48 ovals. So the correct answer is C. They both have 48 ovals.