Card Game Prize Calculation: Ryan's Added Value

Ryan and 26 of his MMS students are playing a card game. Ryan has 26 black cards, and each of the students has one red card. Any red card coupled with a black card gets a $100 prize (paid by the dean). What is Ryan's added value?

Ryan's added value is the total amount of money he receives from the dean for coupling his black cards with the students' red cards.

Since Ryan has 26 black cards and there are 26 students, he can couple each of his black cards with one student's red card. Therefore, Ryan will receive a prize for each of his black cards.

The total amount of money Ryan receives is 26 (the number of black cards he has) multiplied by $100 (the prize for each coupling).

Therefore, Ryan's added value is 26 * $100 = $2600. Answer: 2600.