Question

when a number is decreased by 9.8%, the result is 87. what is the original number to the nearest tenth?

Explanation:

Step1: Define original number as $x$

Let the original number be $x$.

Step2: Calculate remaining percentage

$100\% - 9.8\% = 90.2\% = 0.902$

Step3: Set up equation

$0.902x = 87$

Step4: Solve for $x$

$x = \frac{87}{0.902} \approx 96.4$

Answer:

96.4