Question

Beth is selling tickets for a dinner at her school.

* Adult's tickets cost $6.00 each
Children's tickets cost $4.50 each
* Beth sold a total of 520 tickets
* Beth's ticket sales totaled $2,707.50.
How many tickets of each type were sold?
A. 245 children's tickets, 275 adult's tickets
B. 257 children's tickets, 263 adult's tickets
C. 260 children's tickets, 260 adult's tickets
D. 275 children's tickets, 245 adult's tickets

Answer 1

D

Explanation:

x-number of children's tickets sold

y-number of adult's tickets sold

x+y=520=>x=520-y

4.5x+6y=2 707.5

45x+60y=27 075

45(520-y)+60y=27 705

15y+23 400=27 705

15y=3 675

y=245=>x=520-y=520-245=275