decoration of the gym = $ 189.26
cost of security guard per hour = $52.50
Hours for the dance = 3 hours
deejay charges = $50.98 plus 23.50 per hour.
refreshement = $2.25 per student
Amount student council raised = $349.49
95 student will attend and share the cost of the dance
a.
cost of the security guard and deejay cost
![\begin{gathered} \text{deejay cost=50.98+23.50x} \\ x=\text{ number of hours} \\ \\ \sec urity\text{ cost per hour=\$}52.50x \\ \text{let x=number of hour} \\ \\ \cos t=\text{50.98+23.50x}+52.50x \\ \cos t=50.98+76x \\ x=3\text{ hours} \\ \text{ } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/46ycfkh57jwfrpysb29sntf581bh3g8ody.png)
b.
![\begin{gathered} \cos t\text{ of security guard and d}eejay=50.98+76x \\ \cos t\text{ of security guard and d}eejay=50.98+76(3) \\ \cos t\text{ of security guard and d}eejay=\text{ \$}278.98 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/u0vu7gcns2um1sv79mp5tyekeq4tjn8pwj.png)
c.
![\begin{gathered} \cos t\text{ of refreshment=2.25}*95 \\ \cos t\text{ of refreshment= \$}213.75 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vwp01hk5anv2e82q8mpwgikuigc09gu4it.png)
d.
![\text{total cost for the dance=278.98+213.75+}189.26=\text{ \$}681.99](https://img.qammunity.org/2023/formulas/mathematics/college/pjlvxvbu2fx62xhn56wetlkh8fcm73rq89.png)
e.
![\text{amount student ne}ed\text{ to collect from ticket sales=681.99-}349.49=\text{ \$}332.5](https://img.qammunity.org/2023/formulas/mathematics/college/9hm6mqqdrd07tnkx3k0h1glisx1trtl0yv.png)