Helen Is Hosting A Movie Marathon Over The Weekend. There Will Be P People At The Party Altogether. Helen Estimates She'll Need One Bag Of Cheese Popcorn And One Pack Of Gummy Worms Per Person. A Bag Of Cheese Popcorn Costs $2.50, And A Pack Of Gummy
Introduction
Helen is hosting a movie marathon over the weekend, and she's expecting a crowd of p people at the party. To keep her guests entertained, she's planning to serve a delicious combination of cheese popcorn and gummy worms. As the host, Helen wants to make sure she has enough snacks for everyone, but she's also concerned about the cost. In this article, we'll explore the mathematical problem of determining how many bags of cheese popcorn and packs of gummy worms Helen needs to buy, and what the total cost will be.
The Problem
Helen estimates that she'll need one bag of cheese popcorn and one pack of gummy worms per person. Let's assume that the number of people attending the party is p. To calculate the total number of bags of cheese popcorn and packs of gummy worms needed, we can simply multiply the number of people by the number of snacks per person.
- Cheese Popcorn: Helen needs p bags of cheese popcorn, each costing $2.50.
- Gummy Worms: Helen needs p packs of gummy worms, each costing an unknown amount (we'll call this cost x).
Calculating the Total Cost
To calculate the total cost of the snacks, we need to multiply the number of bags of cheese popcorn by the cost per bag, and add the cost of the gummy worms. Since we don't know the cost of the gummy worms, we'll represent this cost as px.
The total cost of the snacks can be represented by the equation:
Total Cost = (Number of bags of cheese popcorn * Cost per bag) + (Number of packs of gummy worms * Cost per pack) = (p * $2.50) + (p * x)
Simplifying the Equation
We can simplify the equation by combining like terms:
Total Cost = $2.50p + px
Finding the Cost of Gummy Worms
Since we don't know the cost of the gummy worms, we'll represent this cost as x. To find the cost of the gummy worms, we can set up an equation using the total cost and the number of people attending the party.
Let's say the total cost is T. We can set up the equation:
T = $2.50p + px
To find the cost of the gummy worms, we can solve for x:
x = (T - $2.50p) / p
Example
Let's say Helen is expecting 10 people at the party, and she wants to know the total cost of the snacks. If the total cost is $35, we can use the equation above to find the cost of the gummy worms.
First, we'll calculate the cost of the cheese popcorn:
$2.50 * 10 = $25
Next, we'll subtract the cost of the cheese popcorn from the total cost to find the cost of the gummy worms:
$35 - $25 = $10
Now, we can divide the cost of the gummy worms by the number of people to find the cost per pack:
$10 ÷ 10 = $1
So, the cost of the gummy worms is $1 per pack.
Conclusion
In this article, we explored the mathematical problem of determining how many bags of cheese popcorn and packs of gummy worms Helen needs to buy for her movie marathon. We calculated the total cost of the snacks using the equation:
Total Cost = (Number of bags of cheese popcorn * Cost per bag) + (Number of packs of gummy worms * Cost per pack) = (p * $2.50) + (p * x)
We also found the cost of the gummy worms by solving for x:
x = (T - $2.50p) / p
By using this equation, Helen can determine the total cost of the snacks and make sure she has enough money to buy the necessary snacks for her party.
Recommendations
Based on the calculations above, Helen should consider the following recommendations:
- Buy in bulk: To save money, Helen can buy the cheese popcorn and gummy worms in bulk. This will reduce the cost per unit and make it easier to calculate the total cost.
- Compare prices: Helen should compare the prices of different brands and types of cheese popcorn and gummy worms to find the best deals.
- Consider alternative snacks: If Helen is concerned about the cost of the snacks, she can consider alternative options such as making her own popcorn or buying snacks in smaller quantities.
Introduction
In our previous article, we explored the mathematical problem of determining how many bags of cheese popcorn and packs of gummy worms Helen needs to buy for her movie marathon. We calculated the total cost of the snacks using the equation:
Total Cost = (Number of bags of cheese popcorn * Cost per bag) + (Number of packs of gummy worms * Cost per pack) = (p * $2.50) + (p * x)
We also found the cost of the gummy worms by solving for x:
x = (T - $2.50p) / p
In this article, we'll answer some frequently asked questions about Helen's movie marathon and provide additional insights into the mathematical problem.
Q&A
Q: How many bags of cheese popcorn and packs of gummy worms does Helen need to buy for 10 people?
A: To calculate the number of bags of cheese popcorn and packs of gummy worms needed, we can multiply the number of people by the number of snacks per person.
- Cheese Popcorn: Helen needs 10 bags of cheese popcorn.
- Gummy Worms: Helen needs 10 packs of gummy worms.
Q: What is the total cost of the snacks for 10 people?
A: To calculate the total cost of the snacks, we need to multiply the number of bags of cheese popcorn by the cost per bag, and add the cost of the gummy worms.
- Cheese Popcorn: 10 bags * $2.50 = $25
- Gummy Worms: 10 packs * $1 = $10
- Total Cost: $25 + $10 = $35
Q: How can Helen save money on snacks for her movie marathon?
A: Helen can save money on snacks by buying in bulk, comparing prices, and considering alternative snacks. For example, she can buy a larger bag of cheese popcorn for a lower cost per unit, or make her own popcorn at home.
Q: What is the cost of the gummy worms per pack?
A: To find the cost of the gummy worms per pack, we can divide the total cost of the gummy worms by the number of packs.
- Total Cost of Gummy Worms: $10
- Number of Packs: 10
- Cost per Pack: $10 ÷ 10 = $1
Q: Can Helen use a different type of snack instead of cheese popcorn and gummy worms?
A: Yes, Helen can use a different type of snack instead of cheese popcorn and gummy worms. For example, she can serve chips, pretzels, or popcorn balls. However, she should consider the cost and availability of the alternative snack.
Q: How can Helen ensure that she has enough snacks for her movie marathon?
A: Helen can ensure that she has enough snacks for her movie marathon by calculating the total number of snacks needed, considering the number of people attending the party, and buying extra snacks in case some guests want more.
Conclusion
In this article, we answered some frequently asked questions about Helen's movie marathon and provided additional insights into the mathematical problem. We calculated the total cost of the snacks, found the cost of the gummy worms per pack, and provided recommendations for saving money on snacks. By following these recommendations, Helen can ensure that she has enough snacks for her party and stays within her budget.
Recommendations
Based on the calculations above, Helen should consider the following recommendations:
- Buy in bulk: To save money, Helen can buy the cheese popcorn and gummy worms in bulk. This will reduce the cost per unit and make it easier to calculate the total cost.
- Compare prices: Helen should compare the prices of different brands and types of cheese popcorn and gummy worms to find the best deals.
- Consider alternative snacks: If Helen is concerned about the cost of the snacks, she can consider alternative options such as making her own popcorn or buying snacks in smaller quantities.
- Calculate the total number of snacks needed: Helen should calculate the total number of snacks needed based on the number of people attending the party and the number of snacks per person.
- Buy extra snacks: Helen should buy extra snacks in case some guests want more. This will ensure that she has enough snacks for everyone and avoid running out of snacks during the party.