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1 Answer

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Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.

Answer:

1300 children attended the basketball game

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

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Aracely Weber
15.5k 3 10 26
answered 9 months ago