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The ratio of the number of candy bars Michael sold on the first day to the number he sold on the second day to the number he sold on the third day is 2 to 1 to 1.

Michael sold 12 candy bars on the first day, 14 on the second day, and the remaining 174 on the third day. This results in a ratio of 12:14:174, which simplifies to 2:1:1.

A) 2 to 1 to 1

This option is correct because it accurately represents the simplified ratio of candy bars sold by Michael on each day. The calculations show that the number sold on the first day (12) relates to the second day (14) and third day (174) in the ratio of 2:1:1 when simplified.

B) 2 to 4 to 1

This option is incorrect as it does not accurately reflect the number of candy bars sold on each day. The ratio of 2:4:1 suggests that the second day's sales are double that of the first day, which contradicts the actual sales figures.

C) 3 to 2 to 1

This option is also incorrect since it misrepresents the sales figures. The ratio of 3:2:1 implies that the first day's sales would be three times the third day's sales, which does not align with the actual quantities sold by Michael.

D) 4 to 1 to 3

This option is incorrect because it inaccurately reflects the sales distribution. The ratio of 4:1:3 suggests an entirely different relationship among the sales figures, which does not correspond to the actual numbers sold by Michael on any of the days.

Conclusion

The correct ratio of 2 to 1 to 1 is derived from the actual sales figures, confirming its accuracy. All other options fail to represent the true relationship between the amounts sold on each day, illustrating a misunderstanding of the sales data provided. Thus, option A stands out as the definitive answer.