Scott's school is selling tickets to a choral performance. on the first day of ticket sales the school sold 4 adult tickets and 7 child tickets for a total of $67. the school took in $106 on the second day by selling 12 adult tickets and 2 child tickets. find the price of an adult tickets and the price of a child ticket.

the cost of an adult ticket is $8

the cost of a child ticket is $5

Step-by-step explanation:

Let x represent the cost of an adult ticket.

Let y represent the cost of a child ticket.

On the first day of ticket sales, the school sold 4 adult tickets and 7 child tickets for a total of $67.This means that

4x + 7y = 67 - - - - - - - - - -1

The school took in $106 on the second day by selling 12 adult tickets and 2 child tickets. This means that

12x + 2y = 106 - - - - - - - - - -2

Multiplying equation 1 by 12 and equation 2 by 4, it becomes

48x + 84y = 804

48x + 8y = 424

Subtracting

76y = 380

y = 380/76 = 5

Substituting y = 5 into equation 1, it becomes

4x + 7×5 = 67

4x + 35 = 67

4x = 67 - 35 = 32

x = 32/4 = 8

11 feet 6 inches and 8 feet 6 inches

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step-by-step explanation: