You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50 and all 5 of you want to buy your own box, find the amount of money that remains per person for popcorn and a drink.
The total cost of the raisin boxes for all 5 of you is $1.50 x 5 = $<<1.5*5=7.50>>7.50.
You will have $25 - $7.50 = $<<25-7.5=17.50>>17.50 remaining for snacks.
To find the amount of money that remains per person for popcorn and a drink, divide the remaining amount by the number of people: $17.50 / 5 = $<<17.50/5=3.50>>3.50. Answer: \boxed{3.50}.
The league will cover the remaining cost of the banquet, which is $960 - ($5 * 60) = $960 - $300 = $660.
To find the cost per player, divide the remaining cost by the number of players: $660 / 60 = $<<660/60=11>>11. Answer: \boxed{11}.
The reciprocal of a fraction can be found by flipping the fraction upside down.
In this case, the reciprocal of 2/3 is 3/2.
Let's assume the price of a silver ticket is x dollars.
Then, the price of a gold ticket is x + $8.
Patrick bought 10 silver tickets, which would cost him 10 * x = 10x dollars.
He also bought 10 gold tickets, which would cost him 10 * (x + $8) = 10x + $80 dollars.
The total cost of all the tickets is given as $140, so we can set up the equation:
10x + 10x + $80 = $140.
Combining like terms on the left side, we get:
20x + $80 = $140.
Next, we subtract $80 from both sides of the equation:
20x = $140 - $80,
20x = $60.
Finally, we divide both sides of the equation by 20 to solve for x (the price of a silver ticket):
x = ($60) / 20 = $3.
Therefore, the price of a silver ticket is $3, and the price of a gold ticket is x + $8 = $3 + $8 = $11. Answer: \boxed{3, 11}.