Jack's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 adult tickets and 4 child tickets for a total of $81. The school took in $64 on the second day by
selling 7 adult tickets and 1 child ticket. What is the price each of one adult ticket and one child
ticket?

77

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)