dan,fran,stan have a total of 194 trading cards. Fran has 24 more cards than dan but 35 fewer than stan how many cards does each have
Let x = Fran's cards, then Dan's = x-24 and Stan's = x+35.
x + (x-24) + (x+35) = 194
Solve for x, then x-24 and x+35.
To solve this problem, we can use variables to represent the number of cards each person has.
Let's assume that Dan has x trading cards.
Since Fran has 24 more cards than Dan, Fran would have (x + 24) trading cards.
Similarly, since Stan has 35 more cards than Fran, Stan would have (x + 24 + 35) = (x + 59) trading cards.
According to the problem, the total number of cards is 194. So we can create an equation:
x + (x + 24) + (x + 59) = 194
Now, we can solve this equation to find the value of x.
3x + 83 = 194 (Combine like terms)
3x = 194 - 83 (Subtract 83 from both sides)
3x = 111
x = 111 / 3 (Divide both sides by 3)
x = 37
So, Dan has 37 trading cards.
Fran has x + 24 = 37 + 24 = 61 trading cards.
Stan has x + 59 = 37 + 59 = 96 trading cards.
Therefore, Dan has 37 cards, Fran has 61 cards, and Stan has 96 cards.