SOLUTION: Hello, Im having trouble finding the equation for this problem and I need your help please. There were 27,000 people at a ball game. The day's receipts were $210,000. How many peo

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Question 655410: Hello, Im having trouble finding the equation for this problem and I need your help please. There were 27,000 people at a ball game. The day's receipts were $210,000. How many people paid $14.00 for reserved seats and how many people paid $6.00 for general admission? Thanks for your help.
Answer by nerdybill(7384) About Me  (Show Source):
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Hello, Im having trouble finding the equation for this problem and I need your help please. There were 27,000 people at a ball game. The day's receipts were $210,000. How many people paid $14.00 for reserved seats and how many people paid $6.00 for general admission? Thanks for your help.
.
Let x = number of people paying $14
then because a total of 27000 people were at the game we have
27000-x = number of people paying $6
.
14x + 6(27000-x) = 210000
14x + 162000-6x = 210000
8x + 162000 = 210000
8x = 48000
x = 6,000 (paid $14)
.
People paying $6:
27000-x = 27000-6000 = 21000