When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number
- 11
- \(\frac{15}{2}\)
-
5
- \(\frac{5}{2}\)
The correct answer is: C
Explanation
Let the number be y, subtract y from 2 i.e 2 - y
2 - y = 4 < \(\frac{1}{5}\) y,
2 - y = \(\frac{y}{5}\) - 4
2 - y + 4 = \(\frac{y}{5}\)
6 = \(\frac{y}{5}\) + y
6 = \(\frac{y + 5y}{5}\)
6 = \(\frac{6y}{5}\)
multiplying through by 5
6 * 5 = 6y
\(\frac{30}{6}\) = y
= 5