Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

To Find :

The number of each general admission tickets sold.

Solution :

Let, general admission are x.

So, Reserved seat tickets will be 1787 - x.

Now, total amount T = 3x + 4( 1787 - x )

T = $5792

3x + 4( 1787 - x ) = $5792

-x + 7148 = 5792

x = 1356

Therefore, the number of each general admission tickets sold are 1356.

Hence, this is the required solution.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

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