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RoseWind [281]
4 years ago
14

There were 718 tickets purchased for a major league baseball game. The lower reserved tickets cost ​$9.50 and the upper reserved

tickets cost ​$8.00. The total amount of money spent was ​$6249.50 How many of each kind of ticket were​ purchased?
Mathematics
1 answer:
DaniilM [7]4 years ago
6 0
Let
L=number of lower tickets sold
U=number of upper tickets sold

then
U=718-L...........(1)
and
9.50L + 8U=6249.50 ..........(2)
Substitute (1) in (2)
9.50L+8(718-L)=6249.50
isolate L and solve
1.5L=6249.50-8*718=505.5
L=505.5/1.5=337
U=718-L=381
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Please help me thank you!!!
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There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).

Option 1 (fast and easy):

The following is the equation for the area of a regular pentagon with side length s.

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Plug s=12 into the equation.

A= \dfrac{12^2}{4} \times \sqrt{5(5+2\sqrt{5})}

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The third choice should be your answer.

Option 2 (much more complicated):

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Let's solve for the apothem.

A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.

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The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.

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3 years ago
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