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Maths pops up in the most unexpected places, even at a rugby match! Let’s tackle a problem involving ratios and ticket sales: At a rugby match, the ratio of children to adults is 2:3. There are 80 children in the crowd. Each adult ticket costs £8, and each child ticket costs a quarter of the adult ticket price. Our goal is to calculate the total money made from ticket sales.
Understanding the Ratio
The ratio 2:3 tells us that for every 2 children, there are 3 adults. We know there are 80 children, and this represents the “2” part of the ratio.
Breaking Down the Problem: Step-by-Step
Here’s how to solve this problem:
- Find the Value of One Ratio Part: We know 80 children represent 2 parts of the ratio. Divide the number of children by 2 to find the value of one part: 80 / 2 = 40. So, each “part” of the ratio is worth 40 people.
- Calculate the Number of Adults: The number of adults is represented by the “3” in the ratio. Multiply the value of one part (40) by 3: 40 x 3 = 120. There are 120 adults.
- Calculate the Price of a Child Ticket: A child ticket costs a quarter of the adult ticket price (£8). Divide the adult ticket price by 4: £8 / 4 = £2. A child ticket costs £2.
- Calculate the Money Made from Adult Tickets: Multiply the number of adults (120) by the adult ticket price (£8): 120 x £8 = £960.
- Calculate the Money Made from Child Tickets: Multiply the number of children (80) by the child ticket price (£2): 80 x £2 = £160.
- Calculate the Total Money Made: Add the money made from adult tickets and child tickets: £960 + £160 = £1120.
The Answer
Therefore, the total money made from ticket sales is £1120.
Putting Maths into Practice
This problem demonstrates how ratios and basic arithmetic can be used to solve real-world scenarios, from managing ticket sales to understanding proportions in various situations.
Need Help with Maths Concepts?
If you find yourself struggling with ratios, percentages, or other mathematical concepts, consider seeking assistance. An online maths tutor can provide tailored support and guidance to help you build a strong foundation and excel in your studies.
