If 60% of a number equals 90, what is that number?

If 60% of a number equals 90, what is that number?

• A. 130
• B. 150
• C. 150
• D. 140

Answer: (C)

To find the number when 60% of it equals 90, you can set up the equation using the relationship between the percentage and the number. Let’s denote the unknown number as \( x \). The equation can be expressed as: \[ 0.6x = 90 \] To solve for \( x \), you need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.6: \[ x = \frac{90}{0.6} \] Calculating the right side gives: \[ x = 150 \] This means the original number is 150. So, when you take 60% of 150, the calculation would be: \[ 0.6 \times 150 = 90 \] This verifies that the correct number, for which 60% equals 90, is indeed 150. Therefore, the answer of 150 is confirmed as correct because it meets the criteria established by the problem.

To find the number when 60% of it equals 90, you can set up the equation using the relationship between the percentage and the number. Let’s denote the unknown number as ( x ). The equation can be expressed as:

[ 0.6x = 90 ]

To solve for ( x ), you need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.6:

[ x = \frac{90}{0.6} ]

Calculating the right side gives:

[ x = 150 ]

This means the original number is 150.

So, when you take 60% of 150, the calculation would be:

[ 0.6 \times 150 = 90 ]

This verifies that the correct number, for which 60% equals 90, is indeed 150. Therefore, the answer of 150 is confirmed as correct because it meets the criteria established by the problem.