When a number is subtracted from 2, the result equals 2 less than one-fifth of the number. Find the number
A. 11 B. \(\frac{15}{2}\) C. 5 D. \(\frac{5}{2}\)
Correct Answer: C
Explanation
Let the number be y, subtract y from 2 i.e 2 - y 2 - y = 4 < \(\frac{1}{5}\) x y, 2 - y = 4 < \(\frac{y}{5}\) 2 - y - 4 < \(\frac{y}{5}\) 2 - 4 - y \(\frac{x}{5} - 4\), multiplying through by 5 5(2 - x) = 5(\(\frac{x}{5}\)) - 5(4) 10 - 5x = x - 20 -5x - x = -20 - 10 -6x = -30 x = \(\frac{-30}{-6}\) = 5