Halima Is Making Batches Of Biscuits. 1 Batch Makes Exactly 15 Large Biscuits Or 28 Small Biscuits. She Decides To Sell Her Biscuits So Makes 10 Batches Of Dough. Halima Makes The Following Price List: Bag Of 3 Large Biscuits £1.25 Bag Of 7 Small
Introduction
In this article, we will delve into the world of mathematics and explore the business of Halima, a biscuit maker who has decided to sell her delicious treats. With a focus on batches of biscuits and pricing, we will use mathematical concepts to understand the intricacies of Halima's business.
The Biscuit Batches
Halima has a recipe that yields either 15 large biscuits or 28 small biscuits per batch. To understand the relationship between the two types of biscuits, we can use a ratio. The ratio of large biscuits to small biscuits is 15:28. This can be simplified to a ratio of 5:28 by dividing both numbers by 3.
Large biscuits : Small biscuits = 15 : 28
= 5 : 28 (simplified ratio)
Making Batches of Dough
Halima decides to make 10 batches of dough. This means she will have a total of 10 x 15 = 150 large biscuits or 10 x 28 = 280 small biscuits.
Total large biscuits = 10 x 15 = 150
Total small biscuits = 10 x 28 = 280
The Price List
Halima has created a price list for her biscuits:
- Bag of 3 large biscuits: £1.25
- Bag of 7 small biscuits: £1.25
This means that the price per biscuit is the same for both large and small biscuits, regardless of the quantity.
Calculating Revenue
To calculate the revenue from selling the biscuits, we need to determine how many bags of biscuits Halima can sell. Let's assume she sells all 150 large biscuits and 280 small biscuits.
For the large biscuits, Halima can sell 150 / 3 = 50 bags of 3 large biscuits each.
Large biscuits sold = 150
Number of bags = 150 / 3 = 50
For the small biscuits, Halima can sell 280 / 7 = 40 bags of 7 small biscuits each.
Small biscuits sold = 280
Number of bags = 280 / 7 = 40
The total revenue from selling the large biscuits is 50 x £1.25 = £62.50.
Revenue from large biscuits = 50 x £1.25 = £62.50
The total revenue from selling the small biscuits is 40 x £1.25 = £50.
Revenue from small biscuits = 40 x £1.25 = £50
The total revenue from selling all the biscuits is £62.50 + £50 = £112.50.
Total revenue = £62.50 + £50 = £112.50
Conclusion
In this article, we have explored the business of Halima, a biscuit maker who has decided to sell her delicious treats. Using mathematical concepts, we have calculated the total number of biscuits, the number of bags that can be sold, and the total revenue from selling the biscuits. This example demonstrates the importance of mathematics in real-world applications, such as business and economics.
Mathematical Concepts Used
- Ratios
- Simplification of ratios
- Division
- Multiplication
- Addition
Real-World Applications
- Business and economics
- Cooking and baking
- Science and technology
Further Exploration
- What if Halima wants to sell her biscuits in different quantities, such as bags of 5 or 10 biscuits?
- How would the price list change if Halima wants to sell her biscuits at a discount?
- What if Halima wants to sell her biscuits online, and needs to calculate shipping costs and taxes?
Halima's Biscuit Business: A Mathematical Exploration - Q&A ===========================================================
Introduction
In our previous article, we explored the business of Halima, a biscuit maker who has decided to sell her delicious treats. We used mathematical concepts to understand the intricacies of Halima's business, including the relationship between large and small biscuits, the number of batches she can make, and the total revenue from selling the biscuits. In this article, we will answer some frequently asked questions about Halima's biscuit business.
Q: How many large biscuits can Halima make in total?
A: Halima can make 10 batches of dough, and each batch yields 15 large biscuits. Therefore, the total number of large biscuits she can make is 10 x 15 = 150.
Q: How many small biscuits can Halima make in total?
A: Halima can make 10 batches of dough, and each batch yields 28 small biscuits. Therefore, the total number of small biscuits she can make is 10 x 28 = 280.
Q: What is the price per biscuit?
A: According to Halima's price list, the price per biscuit is £1.25 for both large and small biscuits.
Q: How many bags of 3 large biscuits can Halima sell?
A: Halima can sell 150 large biscuits, and each bag contains 3 large biscuits. Therefore, the number of bags she can sell is 150 / 3 = 50.
Q: How many bags of 7 small biscuits can Halima sell?
A: Halima can sell 280 small biscuits, and each bag contains 7 small biscuits. Therefore, the number of bags she can sell is 280 / 7 = 40.
Q: What is the total revenue from selling the large biscuits?
A: Halima can sell 50 bags of 3 large biscuits each, and each bag costs £1.25. Therefore, the total revenue from selling the large biscuits is 50 x £1.25 = £62.50.
Q: What is the total revenue from selling the small biscuits?
A: Halima can sell 40 bags of 7 small biscuits each, and each bag costs £1.25. Therefore, the total revenue from selling the small biscuits is 40 x £1.25 = £50.
Q: What is the total revenue from selling all the biscuits?
A: The total revenue from selling the large biscuits is £62.50, and the total revenue from selling the small biscuits is £50. Therefore, the total revenue from selling all the biscuits is £62.50 + £50 = £112.50.
Q: What if Halima wants to sell her biscuits in different quantities, such as bags of 5 or 10 biscuits?
A: If Halima wants to sell her biscuits in different quantities, she will need to recalculate the number of bags she can sell and the total revenue. For example, if she wants to sell bags of 5 large biscuits, she can sell 150 / 5 = 30 bags. If she wants to sell bags of 10 large biscuits, she can sell 150 / 10 = 15 bags.
Q: How would the price list change if Halima wants to sell her biscuits at a discount?
A: If Halima wants to sell her biscuits at a discount, she will need to adjust the price per biscuit. For example, if she wants to sell her biscuits at a 10% discount, the new price per biscuit would be £1.25 x 0.9 = £1.125.
Q: What if Halima wants to sell her biscuits online, and needs to calculate shipping costs and taxes?
A: If Halima wants to sell her biscuits online, she will need to calculate the shipping costs and taxes in addition to the revenue from selling the biscuits. This will require additional mathematical calculations, such as calculating the cost of shipping per bag and the tax rate on the total revenue.
Conclusion
In this article, we have answered some frequently asked questions about Halima's biscuit business. We have used mathematical concepts to understand the intricacies of Halima's business, including the relationship between large and small biscuits, the number of batches she can make, and the total revenue from selling the biscuits. We hope this article has provided valuable insights into the world of mathematics and business.