The number of children bought meal tickets = 700
The number of adult bought meal tickets = 950
A linear equation is one that can be written as display style a 1x 1+ldots +a nx n+b=0, where x 1, ldots, x n are the variables and display style b, a 1, ldots, a n are the coefficients, which are frequently real integers.
Let x and y be the quantity of kid and adult tickets sold, respectively. 1650 tickets were sold in total, as far as we know.
x + y = 1650
x = 1650 - y
At $12 for adults and $4 for children, the total revenue from tickets is $14200. There are
4x + 12y = 14200
substituting the value of x in the equation:
4(1650 - y) + 12y = 14200
6600 - 4y + 12y = 14200
6600 + 8y = 14200
8y = 14200 - 6600 = 7600
y = 7600 / 8
= 950 adult tickets
x = 1650 - 950
= 700 children tickets
The number of children bought meal tickets = 700
The number of adult bought meal tickets = 950
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