Select the correct answer.
Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?
A.
7c + 5g + 6
B.
7c + 5g + 12
C.
14c + 5g + 6
D.
14c + 5g + 12
The admission fee for each person was $6, so Denise and Stacey together spent $6 + $6 = $12 on admission fees. 7 rides each at a cost of c dollars per ride gives a total cost of 7c + 7c = 14c. Stacey played 3 games at a cost of g dollars per game, which is a total cost of 3g. Denise played 2 games at a cost of g dollars per game, which is a total cost of 2g. Adding all of these costs together, the expression for the total amount of money that Denise and Stacey spent at the carnival is:
$12 + 14c + 3g + 2g = $12 + 14c + 5g
Therefore, the correct answer is C. 14c + 5g + 6.
To find the total amount of money that Denise and Stacey spent at the carnival, we need to add up the cost of their admission fees, rides, and games.
Each person paid an admission fee of $6, so the cost of their admission fees together is 2 * $6 = $12.
Denise and Stacey both went on 7 rides each, so the cost of their rides together is 2 * 7 * c = 14c.
Stacey played 3 games and Denise played 2 games, so the cost of their games together is 3 * g + 2 * g = 5g.
Adding up the costs, the total amount of money that Denise and Stacey spent is $12 + 14c + 5g.
Therefore, the correct expression representing the total amount of money that Denise and Stacey spent at the carnival is option D, 14c + 5g + 12.