(i) Given The Price Of Each Ticket Is ₹ 75, What Combinations Of Snacks Can Be Ordered Within This Budget? (ii) If Saumya Purchased 1 Dosa, 2 Cold Drink Bottles, And 3 Momos, What Is The Total Cost Of Her Purchase?

by ADMIN 215 views

Introduction

In this article, we will explore a fun mathematical problem involving budgeting for snacks. This problem focuses on the cost of various food items like Dosa, Cold drinks, Jalebi, and Momos. We'll analyze scenarios where individuals have a limited budget and need to decide which snacks they can afford. This exercise not only helps in understanding basic arithmetic but also provides practical insights into managing expenses. Budgeting and financial literacy are crucial life skills, and this problem offers a relatable context for learning. We will dissect the given prices of each snack item and answer specific questions about what can be purchased within a set budget. This includes calculating the total cost of different snack combinations and determining the most cost-effective options. Understanding the interplay between cost and quantity is key to solving this problem effectively. We will also look into scenarios where a fixed number of items are purchased, and the total expense needs to be calculated. The goal is to break down the problem into manageable parts and offer clear, step-by-step solutions. By working through these examples, readers can enhance their problem-solving skills and gain confidence in dealing with real-world financial situations. The concepts covered here are fundamental and applicable to various scenarios, from planning a small snack outing to managing a larger budget.

Problem Statement

Let's consider the scenario where the prices of the following items are given:

  • Dosa per Plate: ₹ 100
  • Cold drink Bottle: ₹ 25
  • Jalebi Per Plate: ₹ 30
  • Momos: ₹ 40
  • Water bottle (1): ₹ 20

We will address the following questions based on these prices:

(i) Snack Options Within Budget: If the cost of each ticket is ₹ 75, which snacks could they have ordered?

(ii) Calculating Total Cost: If Saumya has purchased 1 Dosa, 2 Cold drink bottles, and 3 Momos, what is the total amount she has spent?

These questions involve basic arithmetic operations such as addition and multiplication. The first question requires us to determine the possible combinations of snacks that can be purchased within a budget of ₹ 75. This involves evaluating different options and ensuring that the total cost does not exceed the given limit. The second question focuses on calculating the total expense for a specific set of purchases. This requires multiplying the quantity of each item by its price and then summing up the individual costs. Both questions highlight the importance of careful calculation and attention to detail. Solving these problems can help improve budgeting skills and the ability to make informed purchasing decisions. Understanding the underlying mathematical concepts is essential for effectively managing finances in everyday life. The solutions will demonstrate how to approach such problems methodically and arrive at the correct answers.

(i) Snack Options Within Budget (₹ 75)

To determine which snacks can be ordered within a budget of ₹ 75, we need to consider different combinations of items and their costs. This involves a trial-and-error approach, but we can systematically evaluate the options to find the solutions. Let's break down the possibilities:

  1. Single Items:

    • A single plate of Jalebi costs ₹ 30, which is well within the budget.
    • One serving of Momos costs ₹ 40, also within the budget.
    • A Cold drink bottle is priced at ₹ 25, making it an affordable option.
    • A Water bottle costs ₹ 20, the cheapest item on the list.

  2. Combinations:

    • Jalebi and Cold drink: ₹ 30 (Jalebi) + ₹ 25 (Cold drink) = ₹ 55. This combination fits within the budget.
    • Momos and Water bottle: ₹ 40 (Momos) + ₹ 20 (Water bottle) = ₹ 60. This is also a viable option.
    • Two Cold drinks: ₹ 25 (Cold drink) + ₹ 25 (Cold drink) = ₹ 50. Two cold drinks can be purchased within the budget.
    • Cold drink and Water bottle: ₹ 25 (Cold drink) + ₹ 20 (Water bottle) = ₹ 45. This combination is well within the budget.
    • Jalebi and Water bottle: ₹ 30 (Jalebi) + ₹ 20 (Water bottle) = ₹ 50. Another affordable combination.

  3. Exceeding the Budget:

    • A Dosa costs ₹ 100, which is more than the budget of ₹ 75. Therefore, a Dosa cannot be purchased within this budget.
    • Any combination that includes a Dosa will also exceed the budget.

By systematically listing the items and their costs, we can identify the feasible options. The key is to ensure that the total cost of the selected items does not exceed the available budget. This exercise demonstrates how to make purchasing decisions when faced with limited funds. It also reinforces the importance of planning and considering different combinations to maximize the value within a budget. The possible snack orders within the ₹ 75 budget include single items like Jalebi, Momos, Cold drink, or Water bottle, as well as combinations like Jalebi and Cold drink, Momos and Water bottle, two Cold drinks, Cold drink and Water bottle, and Jalebi and Water bottle. Understanding these combinations helps in making informed choices while sticking to a financial constraint.

(ii) Calculating Total Cost for Saumya's Purchase

To calculate the total amount Saumya spent, we need to multiply the quantity of each item by its respective price and then add up the individual costs. This involves basic multiplication and addition, which are fundamental arithmetic operations. Saumya purchased the following items:

  • 1 Dosa
  • 2 Cold drink bottles
  • 3 Momos

Let's calculate the cost for each item:

  1. Cost of 1 Dosa:

    • The price of one Dosa is ₹ 100.
    • So, the cost of 1 Dosa = 1 * ₹ 100 = ₹ 100.

  2. Cost of 2 Cold drink bottles:

    • The price of one Cold drink bottle is ₹ 25.
    • So, the cost of 2 Cold drink bottles = 2 * ₹ 25 = ₹ 50.

  3. Cost of 3 Momos:

    • The price of one serving of Momos is ₹ 40.
    • So, the cost of 3 Momos = 3 * ₹ 40 = ₹ 120.

Now, we add up the costs of all the items to find the total amount spent:

  • Total cost = Cost of Dosa + Cost of Cold drinks + Cost of Momos
  • Total cost = ₹ 100 + ₹ 50 + ₹ 120
  • Total cost = ₹ 270

Therefore, Saumya spent a total of ₹ 270 on her purchase. This calculation highlights the importance of accurate multiplication and addition in determining the final expense. It also demonstrates how to break down a problem into smaller steps to arrive at the solution. Understanding these mathematical operations is essential for managing personal finances and making informed purchasing decisions. By carefully calculating the cost of each item and summing them up, we can easily determine the total expenditure. This exercise provides a practical application of arithmetic skills in a real-world scenario. The systematic approach used here can be applied to various budgeting and expense-tracking situations. The final answer, ₹ 270, represents the total financial commitment Saumya made for her snack purchases.

Conclusion

Through this exercise, we've explored a practical application of arithmetic in managing snack purchases within a budget. We addressed two key questions that highlight different aspects of financial planning. First, we determined the various snack combinations that could be purchased within a limited budget of ₹ 75. This required evaluating different options and ensuring that the total cost did not exceed the available funds. This process demonstrated the importance of considering different alternatives and making informed choices to maximize value within a constraint. Second, we calculated the total cost of a specific set of purchases made by Saumya, which included 1 Dosa, 2 Cold drink bottles, and 3 Momos. This calculation involved multiplying the quantity of each item by its price and then summing up the individual costs. The total expenditure was found to be ₹ 270. This exercise reinforced the significance of accurate multiplication and addition in determining overall expenses.

The problem-solving approach used in this article can be applied to a wide range of financial scenarios, from planning a small outing to managing a household budget. Understanding the basic mathematical operations and being able to apply them effectively is crucial for making sound financial decisions. This exercise not only enhances arithmetic skills but also promotes financial literacy, which is an essential life skill. By breaking down complex problems into smaller, manageable steps, we can approach financial planning with confidence and make informed choices. The ability to calculate costs, evaluate options, and stay within a budget is invaluable in today's world. This article serves as a practical guide to using mathematical skills in everyday financial situations, empowering readers to become more financially savvy and responsible. The combination of budgeting and cost calculation presented here provides a solid foundation for further financial learning and decision-making.