A stadium has 51,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Section A equals the total number of seats in Sections b and C. If the stadium takes in$1,281,200 from each sold out event. How many seats does each section hold?

Question

Mathematics

Bryanna Villa

22 October, 01:21

A stadium has 51,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Section A equals the total number of seats in Sections b and C. If the stadium takes in$1,281,200 from each sold out event. How many seats does each section hold?

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Answers (1)

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Esteban Wade · Answer 1

The number of seats in Section A is 25500

The number of seats in Section B is 14300

and, The number of seats in Section C is 11200.

Step-by-step explanation:

Number of seats can be determined by setting the equations.

Let the number of seats in Section A is "a".

Let the number of seats in Section B is "b".

and, Let the number of seats in Section C is "c".

Now using the statement "A stadium has 51,000 seats"

we can make equation: a + b + c = 51000

Now using the statement "Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C" and "stadium takes in$1,281,200 from each sold out event".

we can make equation: 28a + 24b + 20c = 1,281,200

Now using the statement "he number of seats in Section A equals the total number of seats in Sections b and C"

we can make equation: a = b + c

Solving these three equations. We get,

a = 25500, b = 14300 and c = 11200

Hence, The number of seats in Section A is 25500

The number of seats in Section B is 14300

and, The number of seats in Section C is 11200.