Answer:the number of adults that attended the show is 248
the number of students that attended the show is 54
Step-by-step explanation:
Let x represent the number of adults that attended the show.
Let y represent the number of students that attended the show.
Total number of tickets that were sold is 302. This means that
x + y = 302
Tickets to the fashion show were $2.50 for adults and $1 for students. The receipts for all the tickets were $674. This means that
2.5x + y = 674 - - - - - - - - - 1
Substituting x = 302 - y into equation 1, it becomes
2.5(302 - y) + y = 674
755 - 2.5y + y = 674
- 2.5y + y = 674 - 755
- 1.5y = - 81
y = - 81/- 1.5
y = 54
Substituting y = 54 into x = 302 - y, it becomes
x = 302 - 54 = 248
