In Marys stamp collection, 45 percent are United States stamps, 15 percent are Canadian stamps, and the rest are stamps from other countries. The ratio of the number of United States stamps to the number of Canadian stamps to the number of stamps from other countries is

Rationale

The ratio of the number of United States stamps to the number of Canadian stamps to the number of stamps from other countries is 9:03:08.

To find the ratio of United States stamps to Canadian stamps to stamps from other countries, we first express the percentages in a more usable form. With 45% for U.S. stamps and 15% for Canadian stamps, the remaining 40% represents stamps from other countries. This translates to a ratio of 45:15:40, which simplifies to 9:3:8.

A (9:03:08) CORRECT

This choice accurately reflects the simplified ratio derived from the percentages of the stamp collection. The United States stamps account for 45% (or 9 parts), Canadian stamps for 15% (or 3 parts), and the stamps from other countries make up 40% (or 8 parts).

B (9:03:05) YOUR ANSWER

This ratio inaccurately represents the number of stamps from other countries, which is 40% and corresponds to 8 parts, not 5. Thus, this choice does not correctly reflect the proportions given in the problem.

C (6:02:05) YOUR ANSWER

This choice misrepresents all three components of the ratio. The percentages do not correspond to 6 parts for U.S. stamps, 2 parts for Canadian stamps, or 5 parts for the rest, leading to an incorrect overall ratio.

D (3:01:04) YOUR ANSWER

While this ratio attempts to represent the quantities, it significantly underestimates the counts for U.S. and Canadian stamps. The proportions must reflect the actual percentages of 45% and 15%, which cannot be accurately expressed as 3 and 1 respectively.

E (3:01:02) YOUR ANSWER

This choice is also incorrect as it significantly underestimates the percentage of stamps from other countries. The correct part for the remaining stamps is 8, not 2, making this ratio invalid.

Conclusion

The correct ratio of United States stamps to Canadian stamps to stamps from other countries is 9:03:08, derived from their respective percentages. Each incorrect option fails to accurately represent the actual proportions based on the collection's breakdown. Understanding how to convert percentages into ratios is essential for solving similar problems effectively.

In Marys stamp collection, 45 percent are United States stamps, 15 percent are Canadian stamps, and the rest are stamps from other countries. The ratio of the number of United States stamps to the number of Canadian stamps to the number of stamps from other countries is

The ratio of the number of United States stamps to the number of Canadian stamps to the number of stamps from other countries is 9:03:08.

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