Determining the Cost of 100 Tickets from the Cost of 15 Tickets: A Step-by-Step Guide

Understanding how to calculate the cost of a large number of tickets based on the cost of a smaller, defined quantity is a valuable skill, especially in various sectors such as event management and public services. In this article, we will walk through the process of determining the cost of 100 tickets when given that 15 tickets are priced at $20. This guide aims to clarify the mathematical logic and provide a clear, step-by-step approach to solving such problems.

Introduction to Ticket Cost Calculations

The simplest and most straightforward method for calculating the cost of a larger number of tickets is to first determine the cost per ticket. This involves dividing the total cost by the number of tickets. Once you have the per-ticket price, you can then multiply it by the total number of tickets needed.

Step-by-Step Calculation

Step 1: Determine the Per-Ticket Cost

Identify the total cost of the 15 tickets. In this case, the total cost is $20. Divide the total cost by the number of tickets:

$20 ÷ 15 1.3333 (to the nearest cent)

This means the cost of one ticket is approximately $1.33.

Alternative Calculation Using Fractions

Another way to approach the same calculation is by using fractions:

Express the cost per ticket as a fraction of the total cost:

$20 / 15 20/15 4/3

This means each ticket costs 4/3 of the total cost equivalent.

Step 2: Calculate the Cost for 100 Tickets

Multiply the per-ticket cost by the total number of tickets needed:

$1.33 × 100 133.33 (to the nearest cent)

Alternatively, continue the fractional multiplication:

4/3 × 100 400/3 133.33 (to the nearest cent)

Therefore, the cost for 100 tickets is approximately $133.33.

Conclusion

Understanding ticket cost calculations is essential for efficient budgeting and financial planning. Whether you are a business owner, event planner, or a simple consumer, the ability to quickly and accurately determine ticket costs can save you time and hassle. In this example, we have clearly demonstrated the step-by-step process to find the cost of 100 tickets from the cost of 15 tickets, using both division and a fraction-based approach.

Related Keywords

ticket cost, ticket pricing, mathematical calculation, budgeting, financial planning