The system of equations that can be used to represent the cost of each type of ticket is 2a + 3c = 30.75 and 3a + 2c = 33 .
In the question ,
it is given that ,
a theater sells adult and child tickets for its play .
the cost for 2 adult ticket and 3 child ticket is = $30.75
and the cost for 3 adult tickets and 2 child tickets = $33.00
let the cost of 1 adult ticket = "a" and
let the cost of 1 child ticket = "c"
So, According to the question ,
the equation to represent both the situation is
2a + 3c = 30.75 and
3a + 2c = 33
Therefore , The system of equations that can be used to represent the cost of each type of ticket is 2a + 3c = 30.75 and 3a + 2c = 33 .
The given question is incomplete , the complete question is
A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let "a' represent the cost of 1 adult ticket, and "c" represent the cost of 1 child ticket . Write a system of equations can be used to determine the cost of each type of ticket ?
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