If (x/17)% of 55y = 121/85 and y = 11/5 what is the value of x?

Rationale

The value of x is 20.

To solve the equation, we first substitute y = 11/5 into the given equation, which simplifies to find x. Through algebraic manipulation, we determine that x must equal 20 to satisfy the original equation.

A (2) YOUR ANSWER

If x were 2, substituting back into the equation would yield a value that does not satisfy (x/17)% of 55y = 121/85. The calculations reveal that this choice leads to a result significantly lower than the required outcome.

B (6) YOUR ANSWER

Choosing x as 6 would also lead to a miscalculation when substituted into the equation. The resulting value falls short of matching the right-hand side of the equation, indicating that x must be higher than this option to fulfill the requirements.

C (20) CORRECT

Substituting x = 20 into the equation yields a correct and balanced equation. This value satisfies (20/17)% of 55y = 121/85 when y is substituted, confirming it as the correct answer.

D (40) YOUR ANSWER

If x were 40, substituting this value would result in a much larger output than needed. The calculations show that (40/17)% of 55y exceeds 121/85, indicating that x is too high in this case.

E (60) YOUR ANSWER

Similar to option D, using x as 60 results in an even greater outcome, which does not align with the equation's requirement. This value is also too high, confirming that x must be less than this option.

Conclusion

The solution to the equation confirms that the only value of x that satisfies the original condition is 20. All other options either fail to reach the required equality or exceed it, indicating that x = 20 is the sole correct choice for the problem presented.

If (x/17)% of 55y = 121/85 and y = 11/5 what is the value of x?

The value of x is 20.

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