Q2. At a football match, the ratio of children to adults is 2:7. There are 2700 people in the crowd. Each adult ticket costs £8, and each child ticket costs £5. Work out the total money made from the ticket sales.
Answers
Answer:
£19800
Explanation:
Let the ratio be 2x:7x.
According to Question,
2x + 7x = 2700
=> 9x = 2700
=> x = 2700/9
=> x = 300
Hence, number of children = 2 × 300 = 600
Number of adults = 7 × 300 = 2100
Cost of each child ticket = £5
Cost of 600 child tickets = £5 × 600 = £3000
Cost of each adult ticket = £8
Cost of 2100 adult tickets = £8 × 2100 = £16800
Hence, total cost = £3000 + 16800 = £19800
Answer:
The total money made from the ticket sales is ₹ 19800.
Step-by-step explanation:
Let the children and adults in the ratio 2:7 be 2x and 7x
By condition,
2x+7x = 2700
9x = 2700 => x = 2700/9 = 300
2x = 600; 7x = 2100
No of children = 600
Each child ticket costs ₹ 5
income by child tickets = ₹ 600×5 = ₹3000
No of adults = 2100
Each adult ticket costs ₹ 8
income by adult tickets = ₹ 2100×8 = ₹16800
Total money made by selling tickets = 3000 + 16800 = ₹19800 {answer}.