Q:

Marlon school is selling tickets to the annual talent show. on the first day of ticket sales,the school sold 6 adult tickets and 4 tickets student tickets for a total of $96 the school took in $51 on the second day by selling 1 adult tickets and 3 student tickets. find the price of an adult ticket and the price of the student ticket​

Accepted Solution

A:
Price of one adult ticket is $6 and one student ticket is $15.Step-by-step explanation:Let, Adult tickets = xStudent tickets = yAccording to statement, sales on day one;6x+4y=96 Eqn 1On second day; x+3y=51 Eqn 2[tex]Multiplying\ Eqn\ 2\ by\ 6\\6(x+3y=51)\\6x+18y=306\ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(6x+18y)-(6x+4y)=306-96\\6x+18y-6x-4y=210\\14y=210\\Dividing\ both\ sides\ by\ 14\\\frac{14y}{14}=\frac{210}{14}\\y=15[/tex]Putting value of y in Eqn 2;[tex]x+3(15)=51\\x+45=51\\x=51-45\\x=6\\[/tex]Price of one adult ticket is $6 and one student ticket is $15.Keywords: Linear Equations, Multiplication.Learn more about linear equations at:brainly.com/question/9006189brainly.com/question/894273#LearnwithBrainly