Question

when the football game started, there were twice as many eagle fans as spartan fans. At the end of the first quarter, 500 extra eagle fans came on busses. The total attendance at the game was 4790. How many people attended from each school?

Answer 1

• 2860 Eagle fans and 1430 Spartan fans

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Let E represent the number of Eagle fans and S represent the number of Spartan fans at the start of the game.

We can set up two equations using the given information:

• 1) E = 2S (twice as many Eagle fans as Spartan fans)

• 2) E + S + 500 = 4790 (total number, including the extra 500 fans)

Now we can solve the equations.

From equation (1), we can replace E in equation (2), the solve for S:

• (2S) + S + 500 = 4790
• 3S + 500 = 4790
• 3S = 4290
• S = 1430

Now find the number of Eagle fans using equation (1):

• E = 2S
• E = 2(1430)
• E = 2860