Rose has 48 balloons; some of these are red, some are blue, and the rest are white. If the ratio of the number of red balloons to blue balloons to white balloons is 7 to 4 to 5, respectively, how many white balloons does Rose have?

Rationale

Rose has 12 white balloons.

To solve the problem, we first determine the total parts in the ratio of red, blue, and white balloons, which is 7 + 4 + 5 = 16 parts. Given Rose has 48 balloons, each part represents 48 / 16 = 3 balloons. Therefore, the number of white balloons, represented by 5 parts, is 5 * 3 = 15.

A (7) YOUR ANSWER

This choice incorrectly represents the number of white balloons. The calculation based on the given ratio indicates that each part consists of 3 balloons, leading to a total of 15 white balloons, not 7.

B (10) YOUR ANSWER

This option is also incorrect. If we apply the ratio to the total, the calculation shows that 5 parts equal 15 balloons, contradicting the value of 10. Therefore, 10 does not reflect the actual number of white balloons.

C (12) CORRECT

This answer is incorrect as well. Following the ratio calculations, the number of white balloons is confirmed to be 15, based on the ratio of 5 parts for white out of a total of 16 parts.

D (15) YOUR ANSWER

This is the correct answer. As derived from the calculations, with 5 parts corresponding to the white balloons in the ratio, and each part being 3 balloons, the total comes to 15 white balloons.

E (21) YOUR ANSWER

This choice is incorrect. The number of white balloons cannot exceed the calculated 15. The ratio calculation clearly establishes that the correct total for white balloons is 15, not 21.

Conclusion

The analysis shows that Rose has 15 white balloons, derived from the ratio of red, blue, and white balloons. The correct approach involved determining the value of each part in the ratio and applying it to find the number of white balloons accurately. Thus, the solution confirms that 15 is the precise count of white balloons based on the given ratio.

Rose has 48 balloons; some of these are red, some are blue, and the rest are white. If the ratio of the number of red balloons to blue balloons to white balloons is 7 to 4 to 5, respectively, how many white balloons does Rose have?

Rose has 12 white balloons.

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