Write a system of equations to represent the situation.

*Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. *

Ticket for an adults = $7.25

Ticket for a student = $5.50

Let number of adults be A

Let number of students be S

Then, A + S = 8 (number of people in group)

And, A*7.25 + S*5.50 = 52.75 (sum of individual costs = total cost)

Substituting for A = 8 - S, from 1st eqn, into 2nd eqn gives us,

(8 - S)*7.25 + S*5.5 = 52.75

58 - 7.25S + 5.5S = 52.75

58 - 1.75S = 52.75

58 - 52.75 = 1.75S

S = 5.25/1.75 = 3

A = 8 - S = 5

**There are 5 adults and 3 students**

- All categories
- Pre-Algebra Answers 12.3k
- Algebra 1 Answers 25.3k
- Algebra 2 Answers 10.5k
- Geometry Answers 5.2k
- Trigonometry Answers 2.6k
- Calculus Answers 6.1k
- Statistics Answers 3k
- Word Problem Answers 10.2k
- Other Math Topics 6.7k

81,974 questions

86,370 answers

2,240 comments

71,906 users