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

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step-by-step explanation:

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when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: