Question

Karla and her family are planning a trip to a museum. They find out that 2 adult tickets and 3 child tickets will cost $60. They also know that the adult tickets cost $5 more than the child tickets. Write two equations (with two variables) to model this scenario.

Answer 1

The equations that model this scenario are:

`2x + 3y = 60`

`x = 5 + y`

Explanation:

This question is solved by a system of equations.

I am going to say that:

x is the price of an adult ticket.

y is the price of a child ticket.

They find out that 2 adult tickets and 3 child tickets will cost $60.

This means that:

`2x + 3y = 60`

They also know that the adult tickets cost $5 more than the child tickets.

This means that:

`x = 5 + y`