Question

Bill and Ted are selling tickets to a white water rafting adventure.

They have sold 80 tickets. Bill sold 20 more than half the amount of
Ted. Write an equation to model the situation so that we can find
how many tickets Bill and Ted each sold.
Create an equation

Answer 1

To model the situation, the equation x + ((x/2) + 20) = 80 can be used. Solving for x yields the solution x = 40, so Ted sold 40 tickets and Bill sold 60 tickets.

Step-by-step explanation:

To write an equation to model the situation, we need to let x represent the number of tickets Ted sold. Bill sold 20 more than half the amount of Ted, so we can express the number of tickets Bill sold as (x/2) + 20. The total number of tickets sold is 80, so our equation becomes:

x + ((x/2) + 20) = 80

To solve for x, we can simplify the equation:

2x + x + 40 = 160

Combining like terms:

3x + 40 = 160

Subtracting 40 from both sides:

3x = 120

Dividing both sides by 3:

x = 40

Therefore, Ted sold 40 tickets and Bill sold (40/2) + 20 = 40 + 20 = 60 tickets.