question 1: You have 25 dollars 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 drink.
question 2: each player will pay $5 to attend the banquet for their soccer league, and the league will pay the rest of the cost. the total cost for the banquet is $960. if there are 60 players in the league, find the cost per player.
question 3: to solve the equation 2/3(x - 4) = -10 izzy wants to multiply both sides of the equation by the reciprocal of the fraction. name the reciprocal.
question 4: there are 2 types of tickets to attend an awards dinner-- silver and gold. the gold ticket are $8 more than silver. if patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.
question 5: kendra is making bread, but the recipe shes using makes 4 loaves. she only wants to make one loaf. the changed recipe calls for 2 and 1/2 cups of flour and sugar combined. if the original recipe calls for 2 cups of sugar, fine the amount of flour (in cups) in the original recipe.
Question 1:
If individual boxes of raisins are $1.50 each and all 5 of you want to buy your own box, the total cost for the raisin boxes would be 5 * $1.50 = $7.50.
You have $25, so after buying the raisin boxes, the remaining amount for popcorn and drinks would be $25 - $7.50 = $17.50.
To find the amount of money that remains per person, you divide the remaining amount by the number of people: $17.50 / 5 = $3.50 per person.
Question 2:
If the total cost for the banquet is $960 and there are 60 players in the league, each player will pay $960 / 60 = $16.
Question 3:
The reciprocal of 2/3 is 3/2.
Question 4:
Let's assume the price of a silver ticket is x.
Thus, the price of a gold ticket would be x + $8.
Patrick bought 10 silver tickets, so the cost of the silver tickets is 10x.
He also bought 10 gold tickets, so the cost of the gold tickets is 10(x + $8) = 10x + $80.
The total cost of all the tickets is $140, so 10x + 10x + $80 = $140.
Combining like terms, 20x + $80 = $140.
Subtracting $80 from both sides, 20x = $60.
Dividing both sides by 20, x = $3.
Therefore, the price of a silver ticket is $3, and the price of a gold ticket would be $3 + $8 = $11.
Question 5:
If the changed recipe calls for 2 and 1/2 cups of flour and sugar combined, and the original recipe calls for 2 cups of sugar, then the amount of flour in the original recipe would be 2 and 1/2 cups - 2 cups = 1/2 cup.