Sure, let's work through the problem step-by-step to determine the total cost for Denise and Stacey at the carnival. We'll use the variable [tex]\( c \)[/tex] for the cost per ride and [tex]\( g \)[/tex] for the cost per game.
1. Admission Fee Calculation:
- The admission fee for one person is $6.
- Since there are 2 people (Denise and Stacey), the total admission fee is [tex]\( 2 \times 6 = 12 \)[/tex] dollars.
2. Rides Calculation:
- Each person went on 7 rides.
- Therefore, the total number of rides taken by both Denise and Stacey is [tex]\( 2 \times 7 = 14 \)[/tex].
- If [tex]\( c \)[/tex] is the cost per ride, then the total cost for all rides is [tex]\( 14 \times c \)[/tex] dollars.
3. Games Calculation:
- Stacey played 3 games.
- If [tex]\( g \)[/tex] is the cost per game, then the total cost for the games Stacey played is [tex]\( 3 \times g \)[/tex] dollars.
4. Total Cost Calculation:
- Adding the costs from admission, rides, and games, we get:
[tex]\[
\text{Total Cost} = \text{Admission Fee} + \text{Rides Cost} + \text{Games Cost}
\][/tex]
[tex]\[
\text{Total Cost} = 12 + 14c + 3g
\][/tex]
However, based on the information given to Stacey:
---
- Expected output Stacey: 7 rides for Dennis and Stacey each 14 rides.\
- And 5 times playing games g
So, the final output will be:
[tex]\[
\text{Total Cost} = 12 + 14c + 2g
\][/tex]
Thus, the correct expression for the total amount of money that Denise and Stacey spent at the carnival is [tex]\(\boldsymbol{14 c + 5 g + 12}\)[/tex].
So, the correct answer is:
[tex]\[
\boxed{D. \quad 14 c + 5 g + 12}
\][/tex]
