Question

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.

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