A tennis star was hired to sign autographs at a convention. She was paid $30003000 plus 22 % of all admission fees collected at the door. The total amount she received for the day was $35603560. Find the total amount collected at the door.

Question

Mathematics

Priscilla Roman

27 January, 22:45

A tennis star was hired to sign autographs at a convention. She was paid $30003000 plus 22 % of all admission fees collected at the door. The total amount she received for the day was $35603560. Find the total amount collected at the door.

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Answers (1)

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Cohen · Answer 1

Answer: $28000 was collected at the door.

Step-by-step explanation:

Let x represent the total amount collected of admission feets collected at the door.

She was paid $3000 plus 2 % of all admission fees collected at the door. This means that the total amount she was paid for collecting x admission fees at the door is expressed as

3000 + 2/100 * x

= 3000 + 0.02x

The total amount she received for the day was $3560. It means that

3000 + 0.02x = 3560

0.02x = 3560 - 3000

0.02x = 560

x = 560/0.02

x = 28000