The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods. if x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

The cost for each adult ticket is $8 and this can be determined by using the substitution method and the given data.

Given :

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods.

The following steps can be used in order to determine the cost for each adult ticket:

Step 1 - Write the given equation.

2y = 48 - 5x   --- (1)

3x + 2y = 32   --- (2)

Step 2 - Now, substitute the value of 2y in equation (2).

3x + 48 - 5x = 32

48 - 32 = 2x

x = $8

Step 3 - Now, substitute the value of 'x' in equation (1).

2y = 48 - 5(8)

2y = 48 - 40

2y = 8

y = $4

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Y can be 4 because:

2y = 2*4 = 8

48 - 8 = 40

After that we calculate using 5x:

5x = 40

x = 40 / 5

x = 8

The same logic and numbers can apply to the second equation:

2y = 2*4 = 8

32 - 8 = 24

Now we work with 3x:

3x = 24

x = 24 / 3

x = 8

Hope it helped,

Happy homework/ study/ exam!

39 units squared

Step-by-step explanation:

circumference of circle =sum of sides of triangle (22.22)

Formula circumference  2*pi*r

     22.22=2*pi*r

r=22.22/2pi                

r=22.22/6.28

r=3.5382 (radius is 3.5382...)

Formula area      pi*r^

r^ = (3.5382)^ =12.5289

(12.5189)(*3.14)= 39.30