
“Retail Opportunities with Growth Potential at Grocery-Anchored Locations” # 2016 AMC 12A Problems/Problem 5. ## Contents. 1 Problem 2 Solution 3 Video Solution 4 See Also ## Problem The sum of two nonzero real numbers is $4$ times their product. What is the sum of the reciprocals of the two numbers? $\textbf{(A)}\ -4\qquad\textbf{(B)}\ -2\qquad\textbf{(C)}\ 0\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ 4$ ## Solution. Let the two numbers be $x$ and $y$. We are given that $x+y=4xy$. We want to find $\frac{1}{x}+\frac{1}{y}$. We can rewrite this as $\frac{x+y}{xy}$. We know that $x+y=4xy$, so $\frac{x+y}{xy}=\frac{4xy}{xy}=\boxed{\textbf{(D)}\ 4}$. ## Video Solution. https://youtu.be/8WrdYLw9_ns ~savannahsolver
Marcus & Millichap recently completed the sale of The Shops at Ledgebrook, a 105,499-square-foot grocery-anchored shopping center located in Winsted,







