Answer
16 phones
Work Step by Step
$C=n*(n-1)/2$
$C=120$
$120=n*(n-1)/2$
$120*2=n*(n-1)/2*2$
$240 = n*(n-1)$
$n^2-n-240=0$
$n^2-16n+15n-240=0$
$n(n-16)+15(n-16)=0$
$(n-16)(n+15)=0$
$n-16=0$
$n=16$
$n+15=0$
$n=-15$ (invalid since we can't have a negative number of phones)