Question 17

x equals 20

To find the value of x, we substitute y = 11/5 into the equation (x/17)% of 55y = 121/85. By simplifying the equation, we determine that x must equal 20 for the equality to hold true.

A) 2

Choosing 2 for x would not satisfy the equation. Substituting 2 into the equation results in a value far less than 121/85, indicating that this option is too low.

B) 6

Selecting 6 for x also fails to satisfy the equation. When substituted, the calculations show that this value does not reach the required equality of 121/85, making it an incorrect choice.

C) 20

Choosing 20 is the correct answer. When substituted into the equation, (20/17)% of 55(11/5) simplifies correctly to equal 121/85, confirming that this is the valid solution.

D) 40

Using 40 in the equation results in a value that overshoots the required equality of 121/85. This indicates that the choice is too high, and thus incorrect.

E) 60

Substituting 60 into the equation also leads to a value that exceeds 121/85, confirming that this option is not a viable solution.

Conclusion

The value of x is definitively 20, as it is the only option that correctly satisfies the equation when y is substituted with 11/5. All other options either fall short or exceed the necessary equality, thereby affirming that they are incorrect.