Question 55

X = 6

To maintain the same ratio of 3:5, the value of X must be 6 when compared to 10. This is derived by setting up the proportion 3/5 = X/10 and solving for X.

A) X = 10

This option is incorrect because if X were equal to 10, the ratio would not remain equivalent to 3:5. Substituting 10 for X would result in a ratio of 3:10, which does not match the original ratio.

B) X = 6

This option is correct. By cross-multiplying from the proportion 3/5 = X/10, we find that 3 * 10 = 5 * X, leading to 30 = 5X and thus X = 6. This maintains the ratio of 3:5.

C) X = 3

This option is incorrect as substituting 3 for X would yield a ratio of 3:3 when compared to 10, simplifying to 1:1. This does not correspond to the original ratio of 3:5.

D) X = 8

This option is also incorrect. If X were 8, the resulting ratio would be 3:8 when compared to 10, which clearly deviates from the original ratio of 3:5.

Conclusion

The correct answer, X = 6, accurately reflects the maintenance of the ratio 3:5 when compared to 10. All other options fail to preserve the proportional relationship established in the question, thereby reinforcing the accuracy of option B as the solution.