2015 AMC 10A Problems/Problem 15

Revision as of 18:42, 4 February 2015 by NikhilP (talk | contribs)


Consider the set of all fractions $\frac{x}{y}$, where $x$ and $y$ are relatively prime positive integers. How many of these fractions have the property that if both numerator and denominator are increased by $1$, the value of the fraction is increased by $10\%$?

$\textbf{(A) }0\qquad\textbf{(B) }1\qquad\textbf{(C) }2\qquad\textbf{(D) }3\qquad\textbf{(E) }\text{infinitely many}$


You can create the equation $\frac{x+1}{y+1}=(1.1)(\frac{x}{y})$

Invalid username
Login to AoPS