Question

Write an equation that represents the statement "10\% of 160 is 16." What is the base number?

Short answer

The base number is 160.

Step-by-step solution

Write the Statement as an Equation

From the statement '10% of 160 is 16', we can formulate it into an equation by substituting respective percentages and numbers. We can write it as \(0.10 \times X = 16\) where X is the base number.

Identifying the base number

The base number is what the percentage is taken of. In this case, the base number is mentioned in the statement itself which is 160. So, X is 160.

Checking the Solution

To ensure the answer is correct, we put X = 160 in equation which gives \(0.10 \times 160\). Calculating this, we get 16 which is in agreement with the statement.