The infinite sequence $T=\{t_0,t_1,t_2,\ldots\}$ is defined as $t_0=0,$ $t_1=1,$ and $t_n=t_{n-2}+t_{n-1}$ for all integers $n&g
t;1.$ If $a,$ $b,$ $c$ are fixed non-negative integers such that\begin{align*} a&\equiv 5\pmod {16}\\ b&\equiv 10\pmod {16}\\ c&\equiv 15\pmod {16}, \end{align*}then what is the remainder when $t_a+t_b+t_c$ is divided by $7?$ You can use a LaTeX renderer to see what this says.
Im not an expert or anything, but i think for the innequality, i would say
as far as the amount of people she can invite, do 500-100=400 because of the setup fee, then, to find how many people she can invite. 400÷6.50 which leaves you with the highest amount of people she can invite without going over budget, as 61.