Phil and Stacy 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 pattern, which pattern has more ovals?

Respuesta :

Using proportions, it is found that both patterns have the same number of ovals.

  • This question is solved by proportions, using rule of three.

For Phil:

  • There are 96 shapes.
  • 1 of each two shapes is oval, hence:

1 oval - 2 shapes

x oval - 96 shapes

Applying cross multiplication:

[tex]2x = 96[/tex]

[tex]x = \frac{96}{2}[/tex]

[tex]x = 48[/tex]

For Stacy:

  • There are 96 shapes.
  • 2 of each two shapes are oval, hence:

2 oval - 4 shapes

x oval - 96 shapes

Applying cross multiplication:

[tex]4x = 192[/tex]

[tex]x = \frac{192}{4}[/tex]

[tex]x = 48[/tex]

Both patterns have the same number of ovals.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

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