Phil and Stacy make repeating patterns using shapes. Phil rule is oval, square. Stacy’s rule is oval, square, circle, oval. They both gave 96 shapes in their patterns. Which pattern has more ovals?
A. Phil 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
The pattern that has more ovals is Stacy's pattern with 48 ovals.
Explanation:
In Phil's pattern, the rule is oval, square.
So, the pattern will be oval, square, oval, square, oval, square, etc. This pattern repeats every 2 shapes.
In Stacy's pattern, the rule is oval, square, circle, oval.
So, the pattern will be oval, square, circle, oval, oval, square, circle, oval, oval, square, circle, oval, etc. This pattern repeats every 4 shapes.
We are told that they both gave 96 shapes in their patterns.
Since both patterns repeat, we can find the number of ovals in each pattern by dividing 96 by the number of shapes in each pattern repeat.
For Phil's pattern, there are 2 shapes in each repeat, so there are 96/2 = 48 repeats. Since there is 1 oval in each repeat, there are 48 ovals.
For Stacy's pattern, there are 4 shapes in each repeat, so there are 96/4 = 24 repeats. Since there are 2 ovals in each repeat, there are 24 * 2 = 48 ovals.
Therefore, Stacy's pattern has more ovals with 48 ovals.