Question

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of child tickets purchased?

Answer 1

The second option is the correct system of equation.

Answer 2

Let

x---------> the number of adult tickets purchased

y--------> the number of child tickets purchased

we know that

1) A local amusement park charges
`\$21.50` per daily adult ticket and
`\$14.75` per daily child's ticket

2) A group of
`12` people paid
`\$204` for tickets

so

`x+y=12` -------> equation
`1`

`21.50x+14.75y=204` -------> equation
`2`

therefore

the answer is the option

`x+y=12`

`21.50x+14.75y=204`