11. Sheila went to the fair and spent a total of $40. She paid $16 for a ticket to the fair, and she played some games at the fair for $3 each. Which equation could be used to determine the number of games, x, Sheila played?

Question

3x + 16 =40

3 (x + 16) =40

X (16 + 3) = 40

16 + 3 + x =40

Answer 1

To determine the number of games, \( x \), that Sheila played at the fair, we need to account for the total amount she spent. Sheila spent $16 on a ticket and $3 for each game she played. The total amount spent is $40.

The correct equation can be set up as follows:

1. Start with the total spent: $40.
2. Subtract the cost of the ticket: $40 - $16 = $24.
3. The remaining amount ($24) is the total spent on games, where each game costs $3.

Letting \( x \) be the number of games played, we can represent the amount spent on games as \( 3x \). Thus, we can write the equation:

\[ 3x + 16 = 40 \]

So the correct choice is:

3x + 16 = 40