Answer:
Variables: r, s
Number of Regular Tickets: 215
Equations: 8r + 6s = 3580; r + s = 525
Number of Senior Tickets: 310
Step-by-step explanation:
10) Solve the problem below using any method. Define your variables and write out the two equations. Then solve the problem.
A movie theater sells regular tickets for $8.00 and senior tickets for $6.00. One evening the theater
sold 525 tickets and took in $3580 in revenue. How many of each type of ticket were sold?
let r = number of regular tickets
let s = number of senior tickets
Equations:
The first equation deals with money.
8r + 6s = 3580
The second equation deals with numbers of tickets.
r + s = 525
Use the substitution method.
Solve the second equation for r.
r + s = 525
r = 525 - s
Substitute 525 - s for r in the first equation.
8r + 6s = 3580
8(525 - s) + 6s = 3580
4200 - 8s + 6s = 3580
4200 - 2s = 3580
-2s = -620
s = 310
Now substitute 310 for s in the equation r = 525 - s
r = 525 - 310
r = 215
Variables: r, s
Number of Regular Tickets: 215
Equations: 8r + 6s = 3580; r + s = 525
Number of Senior Tickets: 310
