Question

For the high school's production of "Grease," 315 tickets were sold. The cost of a student ticket, s, was $5; the cost of all other tickets, t, was $8. The total income from ticket sales equaled $2211. The system of equations below can be used to determine the number of each type of ticket sold. s + t = 315. 5s + 86 = 2211. How many student tickets were sold?

Answer 1

We basically have to solve the given system of equations and essentially find the value of s.

`\begin{gathered} s+t=315 \\ 5s+8t=2211 \end{gathered}`

The solution is

`\begin{gathered} s+t=315\rightarrow t=315-s \\ \therefore\rightarrow \\ 5\cdot s+8(315-s)=2211\rightarrow5\cdot s+2520-8s=221\rightarrow3s=2520-221=2299 \\ s=(2299)/(3)\approx766.34 \end{gathered}`

Therefore, student tickets sold were about 767!