Question

When a number is decreased by 27%, the result is 11. What is the original number to the nearest tenth?

Answer 1

15.1

Explanation:

Decreased by 27%

100 - 27 = 73% of the original

73/100 × X = 11

X = 1100/73 = 15.06849315

Answer 2

The number rounded to the nearest tenth is 15.1

Explanation:

Step 1: Make an equation

When a number is decreased by 27%, the result is 11.

x * (1 - 0.27) = 11

Step 2: Solve inside the parenthesis

x * (1 - 0.27) = 11

x * 0.73 = 11

Step 3: Divide both sides by 0.73

0.73x / 0.73 = 11 / 0.73

x = 15.1

Answer: The number rounded to the nearest tenth is 15.1