The price of a student ticket is of $5.46.
A equation system is formed when a number of variables are linked and equations are constructed to determine the values of the each variable.
The variables are listed below:
Variable x represents the cost of a student ticket.
Variable y: Adult ticket price.
The formulae are as follows, taking into account the revenues as well as the number of ticket sales:
120x + 110y = $1,430.
160x + 170y = $2,070.
From the second equation:
170y = $2,070 - 160x
y = ($2,070 - 160x) ÷ 170
y = 12.176 - 0.94x
Replacing in the first equation:
120x + 110y = $1,430.
120x + 110(12.176 - 0.94x) = $1,430
120x + 1339.36 - 103.4x = $1,430
16.6x = 90.64
x = 90.64 ÷ 16.6
x = 5.46
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