Question

Please help me with this math word problem! Please...

Answer 1

Let the price of an adult ticket is x and a child ticket is y .

from the question ,

`6x + 2y = 124 \: \: ...(i) \\ \\ 3x + 5y = 100 \: \: ...(ii)`

Multiply 2 in eq (ii)

`6x + 10y = 200 \: \: ...(iii)`

On adding eq (iii) and (i)

`6x + 10y = 200 \\ \\ 6x + 2y = 124`

we get ,

`8y = 76 \\ \\ y = (76)/(8) \\ \\ y = 9.5`

putting y in eq (i)

`6x + 2y = 124 \\ \\ 6x + 2 * 9.5 = 124 \\ \\ 6x + 19 = 124 \\ \\ 6x = 124 - 19 \\ \\ 6x = 105 \\ \\ x = (105)/(6) \\ \\ x = 17.5`

The value of x = 17.5 and y = 9.5

Hence , The price of an adult ticket is 17.5 and the price of a child ticket is 9.5 .