If the average (arithmetic mean) of g and 100 is 75, what is the value of g + 100?

Rationale

g + 100 equals 150.

To find the value of g + 100, we first need to determine g using the information provided about the average. The average of g and 100 is calculated as (g + 100) / 2 = 75. By solving for g, we can then find the required sum.

A (50) YOUR ANSWER

This choice suggests that g + 100 equals 50, which would imply that g is -50. However, substituting g = -50 into the average formula yields an average of (-50 + 100) / 2 = 25, which does not satisfy the condition that the average is 75.

B (125) YOUR ANSWER

If g + 100 equals 125, then g must be 25. However, using this value in the average formula gives (25 + 100) / 2 = 62.5, which is also not equal to 75, thus making this choice incorrect.

C (150) CORRECT

To find g + 100, we know the average of g and 100 is 75, leading to the equation (g + 100) / 2 = 75. Multiplying both sides by 2 gives g + 100 = 150. This is the correct answer.

D (175) YOUR ANSWER

This option implies that g + 100 equals 175, which would mean g is 75. Substituting this back into the average formula results in (75 + 100) / 2 = 87.5, which does not satisfy the condition that the average is 75.

Conclusion

To solve for g + 100, we use the average condition to derive that g + 100 equals 150. The other choices do not satisfy the average requirement, confirming that the only valid solution is indeed 150. This reinforces the importance of correctly interpreting average values in algebraic equations.

If the average (arithmetic mean) of g and 100 is 75, what is the value of g + 100?

g + 100 equals 150.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test