The price of one senior citizen ticket is 8.4$ and one student ticket is 2$.
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the price of one senior citizen ticket = x
And the price of one student ticket = y
Given that, on the first day of ticket sales the school
sold 3 senior citizen tickets and 5 student tickets for a total of $48.
The school took in $90 on the second day by selling 3 senior citizen tickets and 12 student tickets
3x + 5y = 48
3x + 12y = 90
Subtract the equation first from second,
3x + 12y - (3x + 5y) = 90 - 48
5y = 42
y = 42/5
y = 8.4
Substitute the value of y in the equation 3x + 5y = 48
3x + 5(8.4) = 48
3x + 42 = 48
3x = 48 - 42
3x = 6
x = 6/3
x = 2
Hence, the price of one senior citizen ticket is 8.4$ and one student ticket is 2$.
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