Variables on each side. One hotel charges $1 plus $0.80 per minute for long distance and another hotel charges $2 plus $0.75 for long distance calls. Find the length of a call for which the two hotels charge the same amount.

Question

Variables on each side.  One hotel charges $1 plus $0.80 per minute for long distance and another hotel charges $2 plus $0.75 for long distance calls.  Find the length of a call for which the two hotels charge the same amount.

watchmath · Answer

Let $x$ be the length of a call. Then
$1+0.8x=2+0.75x$
$0.05x=1$
$x=1/0.05=20$ minutes