Let x be senior citizen ticket
let y be child ticket
6x + 5y = 104
12x + y = 172
Solving the system of equation by elimination:
Multiplying the first equation by 2, you'll get
12x + 10y = 208
Subtract the second equation by first equation
(12x - 12x) + (10y - y) = (208 - 172)
9y = 36
y = 4
Substitute y = 4 into any equations:
6x + 5(4) = 104
6x = (104 - 20)
x = 84/6 = 14
Jun C.
tutor
Same method:
6x + 3y = 123
3x + 9y = 174
Solving the system of equation by elimination:
Multiplying the second equation by 2, you'll get
6x + 18y = 348
Subtract the first equation by second equation
(6x - 6x) + (18y - 3y) = (348 - 123)
15y = 225
y = 15
Substitute y = 15 into any equations:
6x + 3(15) = 123
6x = (123 - 45)
x = 78/6 = 13
Report
03/28/20
Hannah Nicole C.
Matt's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 6 adult tickets and 3 student tickets for a total of $123. The school took in $174 on the second day by selling 3 adult tickets and 9 student tickets. Find the price of an adult ticket and the price of a student ticket.03/27/20