Answer:
The cost of a ticket for a child is £45.6
Step-by-step explanation:
- A group of 12 adults and 26 children go to a theme park
- The total costs of the tickets was £1804.8
- An adults ticket costs £51.6
- We need to find the cost of a ticket for a child
- Assume that the price of a ticket for a child is £x
∵ The group has 26 children
∴ The cost of children tickets = 26 × (x)
∵ The group has 12 adults
∵ The cost of the adult ticket = £51.6
∴ The cost of adult tickets = 12 × 51.6
∵ The total cost of tickets = 26 × (x) + 12 × 51.6
∴ The total cost of tickets = 26 x + 619.2
∵ The total costs of the tickets was £1804.8
- Equate the two expressions of the total cost
∴ 26 x + 619.2 = 1804.8
- Subtract 619.2 from both sides
∴ 26 x = 1185.6
- Divide both sides by 26
∴ x = 45.6
* The cost of a ticket for a child is £45.6
