Meal tickets at the circus cost $4.00 for children and $12.00 for adults. If 1,650 meal tickets were bought for a total of $14,200, how many children and how many adults bought meal tickets

Respuesta :

The number of  children bought meal tickets =  700

The number of adult  bought meal tickets = 950

What is linear equation?

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.

According to the given equation:

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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