Question

31% of Y is equal to 23.1. Use a benchmark number to explain.

A. Y = 74.52 because 30% of 70 is 21

B. Y = 75.29 because 30% of 80 is 24

C. Y = 74.42 because 30% of 75 is 22.5

D. Y = 72.93 because 30% of 85 is 25.5

Answer 1

To find the value of Y when 31% of Y is equal to 23.1, we can use the equation 0.31Y = 23.1, which simplifies to Y = 74.52. The benchmark number process compares approximate values, but the actual calculation confirms that answer A is correct.

Step-by-step explanation:

The question asks to determine the value of Y given that 31% of Y is equal to 23.1. To find Y, we use the equation 0.31Y = 23.1. We can solve for Y by dividing both sides of the equation by 0.31, which gives us Y = 23.1 / 0.31. This results in Y = 74.52. Now let's verify the provided options by finding a benchmark percentage close to 31%:

However, using the actual calculation and not the benchmark number, we see that the correct answer is A: Y = 74.52. This is confirmed by our initial calculation as the closest to the true value of Y when 31% is taken into account.