The admission fee to a video game arcade is $2.00 per person, and it costs $0.50 for each game played. Shelli and Veronica have a total of $20.00 to spend. What is the greatest number of games they will be able to play?

To find out the greatest number of games they will be able to play, let's break down the information and calculate step by step.

1. The admission fee is $2.00 per person. Since both Shelli and Veronica are going, the total admission fee for both of them is: 2 x $2.00 = $4.00.

2. Subtract the admission fee from the total budget they have: $20.00 - $4.00 = $16.00.

3. Each game costs $0.50. To find out how many games they can play with the remaining budget, divide the budget by the cost per game: $16.00 ÷ $0.50 = 32.

Therefore, Shelli and Veronica will be able to play a maximum of 32 games with their $20.00 budget.