Question

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?

Answer 1

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

Answer:

$\boxed{\bf~Adult~ticket~=~8(x);~Child~ticket~=~4(y).}$

Hope it helped,

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