Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Need help setting up.
a theater audience of 90 people consists of adults,seniors,and students. The ticket prices are $9 for adults, $5 for seniors, and $2 for students. The total number of tickets sold to seniors and students is 20 more than the number of tickets sold to adults. The total money taken in from ticket sales is $515. How many adults, seniors and students are in attendance?
 one year ago
 one year ago
Need help setting up. a theater audience of 90 people consists of adults,seniors,and students. The ticket prices are $9 for adults, $5 for seniors, and $2 for students. The total number of tickets sold to seniors and students is 20 more than the number of tickets sold to adults. The total money taken in from ticket sales is $515. How many adults, seniors and students are in attendance?
 one year ago
 one year ago

This Question is Closed

Dualknight98Best ResponseYou've already chosen the best response.0
set it up algebraically
 one year ago

tumblrfanaticBest ResponseYou've already chosen the best response.0
90=x+y+z y+z=x+20 515=9x+5y+2z
 one year ago

radarBest ResponseYou've already chosen the best response.1
Let a= number of adult tickets Let s= number of seniors then 90as = number of students. We are also given that: s + 90 a s = 20+a or 90  a =20 + a. which is 2a=70 solving for a. a=35 That sets up the number of attendees, now lets do the money. 9a + 5s +2(90as) = 515 (dollars) 9a + 5s + 180 2a  2s = 5i5 substituting 35 for a gets us. 315 + 5s + 180  70 = 515 5s=515 + 70  180 315 5s = 90 s=18 there are 18 seniors students = 90a18=72a=7235=37 adults = 35 sum of senior and students = 37 + 18 = 55 minus students 5535 = 20 checks with the problem information given
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.