Stage 23

Stage 23 will have more circles than Stage 20.

Tyler believes that Stage 23 will have three times as many circles as Stage 20.

Lin believes that Stage 23 will have eight times as many circles as Stage 20.

Who is correct?

Tyler

Lin

Neither

1 answer

To determine who is correct regarding the number of circles in Stage 23 compared to Stage 20, let's denote the number of circles in Stage 20 as \( x \).

According to Tyler, Stage 23 will have three times as many circles as Stage 20. This means Stage 23 will have \( 3x \) circles.

According to Lin, Stage 23 will have eight times as many circles as Stage 20, resulting in \( 8x \) circles in Stage 23.

The only information given is that Stage 23 will have more circles than Stage 20. This does not specify a definitive multiplier, only that it must be greater than 1.

Since both Tyler's assertion (3 times) and Lin's assertion (8 times) are indeed greater than Stage 20, we can conclude:

  • Tyler's claim is valid since \( 3x > x \).
  • Lin's claim is also valid since \( 8x > x \).

Thus, both Tyler and Lin can be considered correct. The answer is Neither if looking for the one who is definitively correct since both could be. However, both claims are valid in terms of having more circles than Stage 20.

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