14. 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
Answer: A
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.
In Mary’s stamp collection, the percentages of stamps are converted into a ratio format, where the United States stamps account for 45%, Canadian stamps for 15%, and the remaining 40% are from other countries. This leads to a ratio of 9:3:8 when simplified.
A) 9:03:08
This option correctly represents the ratio of United States stamps to Canadian stamps to stamps from other countries. The calculations are based on the percentage breakdown: 45% (9 parts), 15% (3 parts), and 40% (8 parts), which simplifies to the ratio of 9:3:8.
B) 9:03:05
This ratio is incorrect because it misrepresents the portion of stamps from other countries. With 40% of the collection being from other countries, this option fails to accurately reflect this figure, resulting in an incorrect overall ratio.
C) 6:02:05
This option is also incorrect as it does not align with the percentages provided. The ratios should represent 9 parts for United States stamps, 3 parts for Canadian stamps, and 8 parts for other countries, making this option inaccurate.
D) 3:01:04
This ratio fails to accurately depict the proportions of the stamps in the collection. The values do not correspond to the correct percentages of United States and Canadian stamps, as well as those from other countries, making it invalid.
E) 3:01:02
This option does not represent the correct distribution of the stamps in Mary’s collection. The values are significantly lower than the actual breakdown and do not reflect the relative amounts of each category accurately.
Conclusion
The correct ratio of 9:03:08 accurately reflects the percentages of United States, Canadian, and other country stamps in Mary’s collection. All other options fail to represent the correct proportion of the stamps, either by miscalculating the amounts or not simplifying them correctly, emphasizing the importance of precise calculations in determining ratios.