If (70% of 32.5) + (25% of x) = 36, then what is the value of x?

Rationale

To find the value of x, it is determined that x equals 53.

By solving the equation (70% of 32.5) + (25% of x) = 36, we first calculate 70% of 32.5, which equals 22.75. Then, we can isolate x and solve for it, leading us to the conclusion that x must be 53 to satisfy the equation.

A (45) YOUR ANSWER

If x were 45, then 25% of 45 would be 11.25. Adding this to 22.75 gives us 34.5, which does not equal 36. Therefore, this option is incorrect.

B (53) CORRECT

This is the correct choice because substituting 53 into the equation gives us 25% of 53, which is 13.25. Adding this to 22.75 results in 36, confirming the equality.

C (78) YOUR ANSWER

If x were 78, then 25% of 78 would be 19.5. When we add this to 22.75, we arrive at 42.25, which is greater than 36. Thus, this option is incorrect.

D (135) YOUR ANSWER

With x as 135, 25% of 135 equals 33.75. Adding this to 22.75 results in 56.5, which also does not satisfy the equation. Hence, this option is incorrect.

E (161) YOUR ANSWER

If x were 161, then 25% of 161 would be 40.25. Adding this to 22.75 gives us 63, which is significantly greater than 36. Therefore, this option is also incorrect.

Conclusion

The problem requires solving for x in the equation (70% of 32.5) + (25% of x) = 36. After calculations confirm that x equals 53, we see that the other answer choices do not satisfy the equation, making them incorrect. Thus, 53 is the only valid solution.

If (70% of 32.5) + (25% of x) = 36, then what is the value of x?

To find the value of x, it is determined that x equals 53.

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