Agroup of 12 adults and 26 children go to a theme park . the total costs of the tickets was £1804.80. an adults ticket costs 51.60 find the cost of a ticket for a child

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