A video arcade offers 6 free games to first time costomers. Each game costs $.75 and after every four games, you get a free game. How many games could you play for $3.00 the first time you are a costomer?

6 free to begin
4 games=$3.00
+1 free
11 games total

can you help me lance?

Sure! I can definitely help you with that. Let's break down the information step by step:

First, we know that the arcade offers 6 free games to first-time customers. So, to begin with, you can play 6 games without spending any money.

Next, we need to consider the cost of each game. It's mentioned that each game costs $0.75.

Now, after every four games, you get a free game. So, after you have played a total of 4 games, you will get an additional free game.

To calculate how many games you can play for $3.00, let's see how many games you can play with $3.00, considering the cost per game:

$3.00 รท $0.75 = 4

So, with $3.00, you can play 4 games.

But remember, after every four games, you also get a free game. In this case, you played 4 games, so you will get an additional free game.

Adding the initial 6 free games and the additional free game, the total number of games you can play for $3.00 as a first-time customer is:

6 (initial free games) + 4 (games costing $0.75 each) + 1 (additional free game) = 11 games in total.

Therefore, you can play a total of 11 games for $3.00 as a first-time customer at this arcade.