Question

Compare Solution Methods for Multi-Step Equations Practice

Questions 1-
You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.

Questions 2- The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.

Questions 3- To solve the equation 23(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.

Questions 4-There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.

Questions 5- Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 212 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

Answer 1

[AI-generated answer — Bot]

Questions 1- To solve this equation, you can use the subtraction method. Subtract $1.50 from $25 to find the amount of money left for popcorn and a drink. Divide the remaining amount by 4 to find the amount of money per person.

Questions 2- To solve this equation, you can use the division method. Divide $960 by 60 to find the cost per player for the town. Then add $5 to the cost per player to find the total cost per player.

Questions 3- To solve this equation, you can use the reciprocal method. The reciprocal of the fraction is 23. Multiply both sides of the equation by 23 to solve for x.

Questions 4- To solve this equation, you can use the substitution method. Let x be the cost of the silver tickets and x + 8 be the cost of the gold tickets. Set up two equations and solve for x.

Questions 5- To solve this equation, you can use the multiplication method. Multiply 2 cups of sugar by 4 to find the amount of sugar in the original recipe. Then subtract the amount of sugar from 212 cups of flour and sugar combined to find the amount of flour in the original recipe.

Answer 2

so how much money is for all of them?

Answer 3

whats the answer for number 3

Answer 4

[AI-generated answer — Explain Bot]

Solution Method for Question 1:

To find the amount of money that remains per person for popcorn and a drink, we need to first calculate the total amount spent on raisin boxes.
The cost per raisin box is $1.50 and there are 4 friends, so the total cost of raisin boxes is 4 * $1.50 = $6.
To find the amount of money that remains, we subtract the total cost of raisin boxes from the initial amount of $25.
Hence, the amount of money that remains is $25 - $6 = $19.
To find the amount per person, we divide the remaining amount by the number of friends.
So, the amount of money that remains per person is $19 / 4 = $4.75.

Solution Method for Question 2:
To determine the cost per player for the town, we need to divide the total cost of the banquet by the number of players.
The total cost of the banquet is $960 and there are 60 players, so the cost per player is $960 / 60 = $16.

Solution Method for Question 3:
To solve the equation 23(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction.
The reciprocal of a fraction is found by flipping the fraction upside down.
In this case, the fraction is 23, so its reciprocal is 1/23.

Solution Method for Question 4:
To find the price of each ticket, we need to set up a system of equations based on the given information.
Let's assume the price of a silver ticket is $x.
According to the given information, the price of a gold ticket is $8 more than the silver ticket, so the price of a gold ticket is $x + $8.
Patrick bought 10 tickets at each level, so we have the following equation:
10x + 10(x + $8) = $140.
Simplifying this equation, we get:
10x + 10x + 80 = $140.
Combining like terms, we have:
20x + 80 = $140.
Subtracting 80 from both sides, we get:
20x = $60.
Finally, dividing both sides by 20, we find that x = $3.
Therefore, the price of each silver ticket is $3, and the price of each gold ticket is $3 + $8 = $11.

Solution Method for Question 5:
To find the amount of flour in the original recipe, we need to set up a ratio based on the given information.
The original recipe makes 4 loaves and uses a total of 212 cups of flour and sugar combined.
Since we want to find the amount of flour in the original recipe, we need to find the ratio of flour to the total amount.
The original recipe calls for 2 cups of sugar, so the remaining amount is 212 - 2 = 210 cups of flour.
To find the ratio, we divide the amount of flour by the total amount:
210 / 212.
This ratio represents the proportion of flour in the recipe.
To find the amount of flour in one loaf, we divide this ratio by 4, since the original recipe makes 4 loaves:
(210 / 212) / 4 = 210 / (212 * 4).
Simplifying this expression, we find that the amount of flour in one loaf is 0.5 cups.

Answer 5

The answers are:

1. 3.5
2. 11
3. 3/2
4. 3 and 11
5. 8

Answer 6

THANK YOU SO MUCH @anonymos

Answer 7

Thank you @anonymously, tbh, i miss just the normal teachers and peers answering our questions. Like the comment if you agree!!!<3