diff --git a/usage.tex b/usage.tex
index 61b9880..12115f1 100644
--- a/usage.tex
+++ b/usage.tex
@@ -92,7 +92,7 @@ video-conferencing app is not. Ultimately, all the energy consumption
 comparison truly reveals is that the two apps do different things---which we
 knew.
 
-Using energy consumption alone even makes apples-to-apples of the same app
+Using energy consumption alone even makes apples-to-apples comparison of the same app
 difficult. Given an app that consumes twice as much energy on Alice's
 smartphone than on Bob's, the question of why is left unanswered by pure
 energy measures. Even if usage time can be used to normalize the comparison
@@ -110,7 +110,7 @@ over all users, differences in app energy efficiency should reflect how well
 the app is written and how well it predicts and adapts to users, not just
 differences in the core features it provides. And when comparing two users
 using the same app, differences in energy efficiency should reflect different
-configurations or differences in how efficiently at app provides certain
+configurations or differences in how efficiently the app provides certain
 features, not just that one user is using one feature and another is not.
 
 \subsection{Evaluating App Changes}