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Sagot :
As tickets are selling for a high school play. student tickets cost $4 and general admission tickets cost $6 and sell 31 tickets and collect $170.
Therefore, the system of equation is
8$4 + 23$6 = $32 + $138 = $170 total
A system of equations is a set of one or more equations with many variables. A solution to a system of equations is a variable map such that all component equations are satisfied. That is, the point where all those equations intersect.
Given that :
Ticket cost = $ 4 and $6
and collection = $170.
Now,
4S+6G = 170 ------------------------ (1)
S+G = 31 ----------------------- (2)
Therefore, subtract from 1st equation to eliminate one variable:
4S+ 4G = 124 ----------------------------- (3)
Now,
2G = 46
⇒ G = 23 tickets
putting G = 23 in equation(2)
S = 31-23
= 8 student tickets
The system of equation is:
8$4 + 23$6 = $32 + $138
= $170 total
Learn more about System of equation:
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