During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. if the first caller has a chance to win $100, which equation finds the amount the 10th caller receives, if the 10th is the first to answer the question correctly?

To solve this problem you must apply the proccedure shown below:

 1. You have that $50 is added to the prize money each time a caller answers the contest question incorrectly and the first caller has a chance to win $100. 

 2. Therefore, the amount the 10th caller receives, if the this caller answers the question correctly, is:

 x: the amount the 10th caller receives.
 y: the number of caller

 x=100+50(y-1)

 As y=10 (the 10th caller), you have:

 x=100+50(10-1)
 x=100+50(9)
 x=100+450
 x=$550