Question

A school sells 712 tickets for a talent show. Adult tickets cost $8 each, and children's tickets cost $4 each. A total of $4,256 is collected

from ticket sales. Which system of equations can be used to determine the number of adult tickets sold, x, and the number of children's
tickets sold, y?
O A. x + y = 712
4x + 8y = 4,256
OB. x + y = 712
8x + 4y = 4,256
C. X + 8y = 712
x + 4y = 4,256
OD. 8x + y = 712
4x + y = 4,256

Answer 1

B

x + y = 712

8x + 4y = 4,256

Explanation:

If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712

The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256