__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**

Enter your username or email to reset your password. You will receive an email with instructions on how to reset your password. If you are experiencing problems resetting your password contact us or send us an email